Intersection Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662024217
Total Pages : 483 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Intersection Theory by : W. Fulton

Download or read book Intersection Theory written by W. Fulton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.

3264 and All That

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Publisher : Cambridge University Press
ISBN 13 : 1107017084
Total Pages : 633 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis 3264 and All That by : David Eisenbud

Download or read book 3264 and All That written by David Eisenbud and published by Cambridge University Press. This book was released on 2016-04-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3264, the mathematical solution to a question concerning geometric figures.

Lagrangian Intersection Floer Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852507
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lagrangian Intersection Floer Theory by : Kenji Fukaya

Download or read book Lagrangian Intersection Floer Theory written by Kenji Fukaya and published by American Mathematical Soc.. This book was released on 2010-06-21 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.

Introduction to Intersection Theory in Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807048
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Intersection Theory in Algebraic Geometry by : William Fulton

Download or read book Introduction to Intersection Theory in Algebraic Geometry written by William Fulton and published by American Mathematical Soc.. This book was released on 1984 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.

Intersection Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461217008
Total Pages : 483 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Intersection Theory by : William Fulton

Download or read book Intersection Theory written by William Fulton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.

Recent Progress in Intersection Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213169
Total Pages : 327 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Recent Progress in Intersection Theory by : Geir Ellingsrud

Download or read book Recent Progress in Intersection Theory written by Geir Ellingsrud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E.M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the Bloch-Beilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and Gromov-Witten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no.

Topics in Intersection Graph Theory

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Publisher : SIAM
ISBN 13 : 9780898719802
Total Pages : 213 pages
Book Rating : 4.7/5 (198 download)

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Book Synopsis Topics in Intersection Graph Theory by : Terry A. McKee

Download or read book Topics in Intersection Graph Theory written by Terry A. McKee and published by SIAM. This book was released on 1999-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.

Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108497403
Total Pages : 197 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory by : Chris Wendl

Download or read book Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory written by Chris Wendl and published by Cambridge University Press. This book was released on 2020-03-26 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Intersection Homology & Perverse Sheaves

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Publisher : Springer Nature
ISBN 13 : 3030276449
Total Pages : 278 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Intersection Homology & Perverse Sheaves by : Laurenţiu G. Maxim

Download or read book Intersection Homology & Perverse Sheaves written by Laurenţiu G. Maxim and published by Springer Nature. This book was released on 2019-11-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.

Hopf Algebras and Their Actions on Rings

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807382
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hopf Algebras and Their Actions on Rings by : Susan Montgomery

Download or read book Hopf Algebras and Their Actions on Rings written by Susan Montgomery and published by American Mathematical Soc.. This book was released on 1993-10-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

Conical Intersections: Theory, Computation And Experiment

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Publisher : World Scientific
ISBN 13 : 9814397938
Total Pages : 769 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Conical Intersections: Theory, Computation And Experiment by : Michael S Schuurman

Download or read book Conical Intersections: Theory, Computation And Experiment written by Michael S Schuurman and published by World Scientific. This book was released on 2011-11-04 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of adiabatic electronic potential-energy surfaces, defined by the Born-Oppenheimer approximation, is fundamental to our thinking about chemical processes. Recent computational as well as experimental studies have produced ample evidence that the so-called conical intersections of electronic energy surfaces, predicted by von Neumann and Wigner in 1929, are the rule rather than the exception in polyatomic molecules. It is nowadays increasingly recognized that conical intersections play a key mechanistic role in chemical reaction dynamics. This volume provides an up-to-date overview of the multi-faceted research on the role of conical intersections in photochemistry and photobiology, including basic theoretical concepts, novel computational strategies as well as innovative experiments. The contents and discussions will be of value to advanced students and researchers in photochemistry, molecular spectroscopy and related areas.

Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108759580
Total Pages : 198 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory by : Chris Wendl

Download or read book Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory written by Chris Wendl and published by Cambridge University Press. This book was released on 2020-03-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef–White theorem.

On Intersectionality

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Publisher :
ISBN 13 : 9781620975510
Total Pages : 480 pages
Book Rating : 4.9/5 (755 download)

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Book Synopsis On Intersectionality by : Kimberle Crenshaw

Download or read book On Intersectionality written by Kimberle Crenshaw and published by . This book was released on 2019-09-03 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major publishing event, the collected writings of the groundbreaking scholar who "first coined intersectionality as a political framework" (Salon) For more than twenty years, scholars, activists, educators, and lawyers--inside and outside of the United States--have employed the concept of intersectionality both to describe problems of inequality and to fashion concrete solutions. In particular, as the Washington Post reported recently, "the term has been used by social activists as both a rallying cry for more expansive progressive movements and a chastisement for their limitations." Drawing on black feminist and critical legal theory, Kimberlé Crenshaw developed the concept of intersectionality, a term she coined to speak to the multiple social forces, social identities, and ideological instruments through which power and disadvantage are expressed and legitimized. In this comprehensive and accessible introduction to Crenshaw's work, readers will find key essays and articles that have defined the concept of intersectionality, collected together for the first time. The book includes a sweeping new introduction by Crenshaw as well as prefaces that contextualize each of the chapters. For anyone interested in movement politics and advocacy, or in racial justice and gender equity, On Intersectionality will be compulsory reading from one of the most brilliant theorists of our time.

Intersectionality as Critical Social Theory

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Publisher : Duke University Press Books
ISBN 13 : 9781478005421
Total Pages : 0 pages
Book Rating : 4.0/5 (54 download)

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Book Synopsis Intersectionality as Critical Social Theory by : Patricia Hill Collins

Download or read book Intersectionality as Critical Social Theory written by Patricia Hill Collins and published by Duke University Press Books. This book was released on 2019-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Intersectionality as Critical Social Theory Patricia Hill Collins offers a set of analytical tools for those wishing to develop intersectionality's capability to theorize social inequality in ways that would facilitate social change. While intersectionality helps shed light on contemporary social issues, Collins notes that it has yet to reach its full potential as a critical social theory. She contends that for intersectionality to fully realize its power, its practitioners must critically reflect on its assumptions, epistemologies, and methods. She places intersectionality in dialog with several theoretical traditions—from the Frankfurt school to black feminist thought—to sharpen its definition and foreground its singular critical purchase, thereby providing a capacious interrogation into intersectionality's potential to reshape the world.

Emerging Intersections

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Publisher : Rutgers University Press
ISBN 13 : 0813546516
Total Pages : 322 pages
Book Rating : 4.8/5 (135 download)

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Book Synopsis Emerging Intersections by : Bonnie Thornton Dill

Download or read book Emerging Intersections written by Bonnie Thornton Dill and published by Rutgers University Press. This book was released on 2009-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The United States is known as a "melting pot" yet this mix tends to be volatile and contributes to a long history of oppression, racism, and bigotry. Emerging Intersections, an anthology of ten previously unpublished essays, looks at the problems of inequality and oppression from new angles and promotes intersectionality as an interpretive tool that can be utilized to better understand the ways in which race, class, gender, ethnicity, and other dimensions of difference shape our lives today. The book showcases innovative contributions that expand our understanding of how inequality affects people of color, demonstrates the ways public policies reinforce existing systems of inequality, and shows how research and teaching using an intersectional perspective compels scholars to become agents of change within institutions. By offering practical applications for using intersectional knowledge, Emerging Intersections will help bring us one step closer to achieving positive institutional change and social justice.

The Moduli Space of Curves

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Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Moduli Space of Curves by : Robert H. Dijkgraaf

Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Fundamental Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842455
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fundamental Algebraic Geometry by : Barbara Fantechi

Download or read book Fundamental Algebraic Geometry written by Barbara Fantechi and published by American Mathematical Soc.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.