Holomorphic-Topological Twists and their Applications
Appears in collection : Mathematics on the Crossroad of Centuries - A Conference in Honor of Maxim Kontsevich's 60th Birthday
We review the holomorphic-topological twist of supersymmetric quantum field theories and some of their mathematical properties and applications. These include some general formality-like results or lack thereof, a discussion of categorical wall-crossing in four dimensional gauge theories and a categorical approach to the 't Hooft expansion.
