Instanton Counting, Quantum Geometry and Algebra
Language: en
Pages: 285
Authors: Taro Kimura
Categories: Science
Type: BOOK - Published: 2021-07-05 - Publisher: Springer Nature

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in
Topological Recursion and its Influence in Analysis, Geometry, and Topology
Language: en
Pages: 549
Authors: Chiu-Chu Melissa Liu, Motohico Mulase
Categories: Topology
Type: BOOK - Published: 2018-11-19 - Publisher: American Mathematical Soc.

This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4–8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid
Geometry of Moduli Spaces and Representation Theory
Language: en
Pages: 436
Authors: Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun
Categories: Algebraic varieties
Type: BOOK - Published: 2017-12-15 - Publisher: American Mathematical Soc.

This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory. Geometric representation theory is a young
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1
Language: en
Pages: 427
Authors: Vladimir Dobrev
Categories: Mathematics
Type: BOOK - Published: 2018-11-28 - Publisher: Springer

This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that
Topological Strings and Quantum Curves
Language: en
Pages: 310
Authors: Lotte Hollands
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: Amsterdam University Press

This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW models is embedded in string theory. Secondly, this model is generalized to a web of dualities connecting topological string