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Author : Constantin Leonardo Mihalcea
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book Equivariant Quantum Cohomology of Homogeneous Spaces written by Constantin Leonardo Mihalcea and published by . This book was released on 2005 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard J. Szabo
Publisher : Springer Science & Business Media
ISBN 13 : 3540465502
Total Pages : 320 pages
Book Rating : 4.5/5 (44 download)
Download or read book Equivariant Cohomology and Localization of Path Integrals written by Richard J. Szabo and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented.
Author : Loring W. Tu
Publisher : Princeton University Press
ISBN 13 : 0691197482
Total Pages : 338 pages
Book Rating : 4.6/5 (911 download)
Download or read book Introductory Lectures on Equivariant Cohomology written by Loring W. Tu and published by Princeton University Press. This book was released on 2020-03-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and Berline-Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group action, providing a powerful tool for computing integrals over a manifold. Because integrals and symmetries are ubiquitous, equivariant cohomology has found applications in diverse areas of mathematics and physics. Assuming readers have taken one semester of manifold theory and a year of algebraic topology, Loring Tu begins with the topological construction of equivariant cohomology, then develops the theory for smooth manifolds with the aid of differential forms. To keep the exposition simple, the equivariant localization theorem is proven only for a circle action. An appendix gives a proof of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and calculations illustrate new concepts. Exercises include hints or solutions, making this book suitable for self-study.
Author : I︠U︡. I. Manin
Publisher : American Mathematical Soc.
ISBN 13 : 0821819178
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces written by I︠U︡. I. Manin and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quantum cohomology is based on the notion of the Frobenius manifold. The first part of the book is devoted to this notion and its extensive interconnections with algebraic formalism of operads, differential equations, perturbations, and geometry. In the second part of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this construction (intersection and deformation theory of Deligne-Artin and Mumford stacks). Yuri Manin is currently the director of the Max-Planck-Institut für Mathematik in Bonn, Germany. He has authored and coauthored 10 monographs and almost 200 research articles in algebraic geometry, number theory, mathematical physics, history of culture, and psycholinguistics. Manin's books, such as Cubic Forms: Algebra, Geometry, and Arithmetic (1974), A Course in Mathematical Logic (1977), Gauge Field Theory and Complex Geometry (1988), Elementary Particles: Mathematics, Physics and Philosophy (1989, with I. Yu. Kobzarev), Topics in Non-commutative Geometry (1991), and Methods of Homological Algebra (1996, with S. I. Gelfand), secured for him solid recognition as an excellent expositor. Undoubtedly the present book will serve mathematicians for many years to come.
Author : K. Behrend
Publisher : Springer
ISBN 13 : 3540456171
Total Pages : 325 pages
Book Rating : 4.5/5 (44 download)
Download or read book Quantum Cohomology written by K. Behrend and published by Springer. This book was released on 2004-10-12 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions.
Author : Dan Abramovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821847023
Total Pages : 506 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry written by Dan Abramovich and published by American Mathematical Soc.. This book was released on 2009 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.
Author : Jianxun Hu
Publisher : Springer Nature
ISBN 13 : 9811574510
Total Pages : 367 pages
Book Rating : 4.8/5 (115 download)
Download or read book Schubert Calculus and Its Applications in Combinatorics and Representation Theory written by Jianxun Hu and published by Springer Nature. This book was released on 2020-10-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.
Author : Piotr Kielanowski
Publisher : Springer Nature
ISBN 13 : 3030533050
Total Pages : 373 pages
Book Rating : 4.0/5 (35 download)
Download or read book Geometric Methods in Physics XXXVIII written by Piotr Kielanowski and published by Springer Nature. This book was released on 2020-10-27 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Author :
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (51 download)
Download or read book American journal of mathematics written by and published by . This book was released on 2006 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Anderson
Publisher : Cambridge University Press
ISBN 13 : 1009349988
Total Pages : 463 pages
Book Rating : 4.0/5 (93 download)
Download or read book Equivariant Cohomology in Algebraic Geometry written by David Anderson and published by Cambridge University Press. This book was released on 2023-11-30 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to the core notions of equivariant cohomology, an indispensable tool in several areas of modern mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2006 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giordano Cotti
Publisher : Springer Nature
ISBN 13 : 3031690672
Total Pages : 241 pages
Book Rating : 4.0/5 (316 download)
Download or read book Helix Structures in Quantum Cohomology of Fano Varieties written by Giordano Cotti and published by Springer Nature. This book was released on with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anna Beliakova
Publisher : American Mathematical Soc.
ISBN 13 : 1470428210
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)
Download or read book Categorification in Geometry, Topology, and Physics written by Anna Beliakova and published by American Mathematical Soc.. This book was released on 2017-02-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorification is a powerful tool for relating various branches of mathematics and exploiting the commonalities between fields. It provides a language emphasizing essential features and allowing precise relationships between vastly different fields. This volume focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology. The companion volume (Contemporary Mathematics, Volume 683) is devoted to categorification and higher representation theory.
Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Susumu Ariki
Publisher : American Mathematical Soc.
ISBN 13 : 0821853171
Total Pages : 302 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Groups and Quantum Groups written by Susumu Ariki and published by American Mathematical Soc.. This book was released on 2012 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the tenth international conference on Representation Theory of Algebraic Groups and Quantum Groups, held August 2-6, 2010, at Nagoya University, Nagoya, Japan. The survey articles and original papers contained in this volume offer a comprehensive view of current developments in the field. Among others reflecting recent trends, one central theme is research on representations in the affine case. In three articles, the authors study representations of W-algebras and affine Lie algebras at the critical level, and three other articles are related to crystals in the affine case, that is, Mirkovic-Vilonen polytopes for affine type $A$ and Kerov-Kirillov-Reshetikhin type bijection for affine type $E_6$. Other contributions cover a variety of topics such as modular representation theory of finite groups of Lie type, quantum queer super Lie algebras, Khovanov's arc algebra, Hecke algebras and cyclotomic $q$-Schur algebras, $G_1T$-Verma modules for reductive algebraic groups, equivariant $K$-theory of quantum vector bundles, and the cluster algebra. This book is suitable for graduate students and researchers interested in geometric and combinatorial representation theory, and other related fields.
Author : Thomas Lam
Publisher : Springer
ISBN 13 : 1493906828
Total Pages : 226 pages
Book Rating : 4.4/5 (939 download)
Download or read book k-Schur Functions and Affine Schubert Calculus written by Thomas Lam and published by Springer. This book was released on 2014-06-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field.
Author : Andrei A. Bytsenko
Publisher : World Scientific
ISBN 13 : 9810245025
Total Pages : 213 pages
Book Rating : 4.8/5 (12 download)
Download or read book Geometrical Aspects of Quantum Fields written by Andrei A. Bytsenko and published by World Scientific. This book was released on 2001 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.
