Gauge theory for families
Geometric Topology
2026-04-17 v1 Differential Geometry
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2604.15071,
title = {Gauge theory for families},
author = {Hokuto Konno},
journal= {arXiv preprint arXiv:2604.15071},
year = {2026}
}
Comments
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"