Quantum field theory and manifold invariants
著者
書誌事項
Quantum field theory and manifold invariants
（IAS/Park City mathematics series / [Dan Freed, series editor], v. 28）
American Mathematical Society, c2021
- : [hardback]
大学図書館所蔵 件 / 全11件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Other editors: Sergei Gukov, Ciprian Manolescu, Constantin Teleman, Ulrike Tillmann
Includes bibliographical references
内容説明・目次
内容説明
This volume contains lectures from the Graduate Summer School ""Quantum Field Theory and Manifold Invariants"" held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field.
Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.
目次
A. Haydys, Introduction to gauge theory
J. Rasmussen, Knots, polynomials, and categorification
J. Hom, Lecture notes on Heegaard Floer homology
L. P. Schaposnik, Advanced topics in gauge theory: Mathematics and Physics of Higges bundles
T. S. Mrowka and D. Wang, Gauge theory and a few applications to knot theory
S. Galatius, Lectures on invertible field theories
P. Putrov, Topological quantum field theories, knots and BPS states
A. Neitzke, Lectures on BPS states and spectral networks
「Nielsen BookData」 より