Quantum Field Theory and Manifold Invariants

Freed, Daniel S. (EDT); Gukov, Sergei (EDT); Manolescu, Ciprian (EDT); Teleman, Constantin (EDT); Tillmann, Ulrike (EDT)

ISBN 10: 1470461234 / ISBN 13: 9781470461232

Published by American Mathematical Society, IAS/Park City Mathematics Institute, 2021

Seller Inventory # 43827147-n

Synopsis:

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.

About the Author: Daniel S. Freed, University of Texas, Austin, TX.

Sergei Gukov, California Institute of Technology, Pasadena, CA.

Ciprian Manolescu, Stanford University, CA.

Constantin Teleman, University of California, Berkeley, CA.

Ulrike Tillmann, University of Oxford, UK.

Bibliographic Details

Title: Quantum Field Theory and Manifold Invariants
Publisher: American Mathematical Society, IAS/Park City Mathematics Institute
Publication Date: 2021
Binding: Hardcover
Condition: New