Elliptic Cohomology

Download Elliptic Cohomology PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0306469693
Total Pages : 202 pages
Book Rating : 4.3/5 (64 download)

DOWNLOAD NOW!


Book Synopsis Elliptic Cohomology by : Charles B. Thomas

Download or read book Elliptic Cohomology written by Charles B. Thomas and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.

Elliptic Cohomology

Download Elliptic Cohomology PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 052170040X
Total Pages : 17 pages
Book Rating : 4.5/5 (217 download)

DOWNLOAD NOW!


Book Synopsis Elliptic Cohomology by : Haynes R. Miller

Download or read book Elliptic Cohomology written by Haynes R. Miller and published by Cambridge University Press. This book was released on 2007-03-15 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.

Elliptic Curves and Modular Forms in Algebraic Topology

Download Elliptic Curves and Modular Forms in Algebraic Topology PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540393005
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Elliptic Curves and Modular Forms in Algebraic Topology by : Peter S. Landweber

Download or read book Elliptic Curves and Modular Forms in Algebraic Topology written by Peter S. Landweber and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference.

Algebraic Topology

Download Algebraic Topology PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642012000
Total Pages : 417 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!


Book Synopsis Algebraic Topology by : Nils Baas

Download or read book Algebraic Topology written by Nils Baas and published by Springer Science & Business Media. This book was released on 2009-08-05 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new.

Topological Modular Forms

Download Topological Modular Forms PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470418843
Total Pages : 353 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Topological Modular Forms by : Christopher L. Douglas

Download or read book Topological Modular Forms written by Christopher L. Douglas and published by American Mathematical Soc.. This book was released on 2014-12-04 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.

Elliptic Curves

Download Elliptic Curves PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387215778
Total Pages : 492 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Elliptic Curves by : Dale Husemöller

Download or read book Elliptic Curves written by Dale Husemöller and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices

Advances in Homotopy Theory

Download Advances in Homotopy Theory PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521379076
Total Pages : 196 pages
Book Rating : 4.3/5 (79 download)

DOWNLOAD NOW!


Book Synopsis Advances in Homotopy Theory by : Ioan Mackenzie James

Download or read book Advances in Homotopy Theory written by Ioan Mackenzie James and published by Cambridge University Press. This book was released on 1989-12-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records the lectures given at a conference to celebrate Professor Ioan James' 60th birthday.

Handbook of Homotopy Theory

Download Handbook of Homotopy Theory PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1351251619
Total Pages : 982 pages
Book Rating : 4.3/5 (512 download)

DOWNLOAD NOW!


Book Synopsis Handbook of Homotopy Theory by : Haynes Miller

Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

Generalized Cohomology

Download Generalized Cohomology PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821835142
Total Pages : 276 pages
Book Rating : 4.8/5 (351 download)

DOWNLOAD NOW!


Book Synopsis Generalized Cohomology by : Akira Kōno

Download or read book Generalized Cohomology written by Akira Kōno and published by American Mathematical Soc.. This book was released on 2006 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.

Algebraic Topology

Download Algebraic Topology PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821851020
Total Pages : 366 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Algebraic Topology by : Mark E. Mahowald

Download or read book Algebraic Topology written by Mark E. Mahowald and published by American Mathematical Soc.. This book was released on 1989 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.

Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory

Download Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821832859
Total Pages : 520 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory by : Paul Gregory Goerss

Download or read book Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory written by Paul Gregory Goerss and published by American Mathematical Soc.. This book was released on 2004 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the conference was to develop new connections between homotopy theory and other areas of mathematics. This proceedings volume grew out of that event. Topics discussed include algebraic geometry, cohomology of groups, algebraic $K$-theory, and $\mathbb{A 1$ homotopy theory. Among the contributors to the volume were Alejandro Adem,Ralph L. Cohen, Jean-Louis Loday, and many others. The book is suitable for graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.

Homotopy Methods in Algebraic Topology

Download Homotopy Methods in Algebraic Topology PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821826212
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Homotopy Methods in Algebraic Topology by : Nicholas Kuhn

Download or read book Homotopy Methods in Algebraic Topology written by Nicholas Kuhn and published by American Mathematical Soc.. This book was released on 2001-04-25 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.

Superstrings, Geometry, Topology, and $C^*$-algebras

Download Superstrings, Geometry, Topology, and $C^*$-algebras PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821848879
Total Pages : 265 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Superstrings, Geometry, Topology, and $C^*$-algebras by : Robert S. Doran

Download or read book Superstrings, Geometry, Topology, and $C^*$-algebras written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2010-10-13 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an NSF-CBMS Conference held at Texas Christian University in Fort Worth, Texas, May 18-22, 2009. The papers, written especially for this volume by well-known mathematicians and mathematical physicists, are an outgrowth of the talks presented at the conference. Topics examined are highly interdisciplinary and include, among many other things, recent results on D-brane charges in $K$-homology and twisted $K$-homology, Yang-Mills gauge theory and connections with non-commutative geometry, Landau-Ginzburg models, $C^*$-algebraic non-commutative geometry and ties to quantum physics and topology, the rational homotopy type of the group of unitary elements in an Azumaya algebra, and functoriality properties in the theory of $C^*$-crossed products and fixed point algebras for proper actions. An introduction, written by Jonathan Rosenberg, provides an instructive overview describing common themes and how the various papers in the volume are interrelated and fit together. The rich diversity of papers appearing in the volume demonstrates the current interplay between superstring theory, geometry/topology, and non-commutative geometry. The book will be of interest to graduate students, mathematicians, mathematical physicists, and researchers working in these areas.

Topology, Geometry and Quantum Field Theory

Download Topology, Geometry and Quantum Field Theory PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521540490
Total Pages : 596 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Topology, Geometry and Quantum Field Theory by : Ulrike Luise Tillmann

Download or read book Topology, Geometry and Quantum Field Theory written by Ulrike Luise Tillmann and published by Cambridge University Press. This book was released on 2004-06-28 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.

Stable Categories and Structured Ring Spectra

Download Stable Categories and Structured Ring Spectra PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1009123297
Total Pages : 441 pages
Book Rating : 4.0/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Stable Categories and Structured Ring Spectra by : Andrew J. Blumberg

Download or read book Stable Categories and Structured Ring Spectra written by Andrew J. Blumberg and published by Cambridge University Press. This book was released on 2022-07-21 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.

The Universal Coefficient Theorem and Quantum Field Theory

Download The Universal Coefficient Theorem and Quantum Field Theory PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319461435
Total Pages : 279 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis The Universal Coefficient Theorem and Quantum Field Theory by : Andrei-Tudor Patrascu

Download or read book The Universal Coefficient Theorem and Quantum Field Theory written by Andrei-Tudor Patrascu and published by Springer. This book was released on 2016-09-23 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.

Elliptic Curves and Modular Forms in Algebraic Topology

Download Elliptic Curves and Modular Forms in Algebraic Topology PDF Online Free

Author :
Publisher :
ISBN 13 : 9780387194905
Total Pages : 224 pages
Book Rating : 4.1/5 (949 download)

DOWNLOAD NOW!


Book Synopsis Elliptic Curves and Modular Forms in Algebraic Topology by :

Download or read book Elliptic Curves and Modular Forms in Algebraic Topology written by and published by . This book was released on 1988 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: