Gauge theory for families
arXiv:2604.15071
Abstract
This article surveys gauge theory for families and its applications to the comparison between the diffeomorphism group and the homeomorphism group of -manifolds, up to 2021.
28 pages, to appear in Sugaku Expositions. This is an English translation of a Japanese survey article originally written in 2021, with only minimal modifications. Developments during the period 2021--2025 are covered in a separate survey article entitled "Diffeomorphism groups and gauge theory for families"