Diffeomorphism groups and gauge theory for families

Published: April 16, 2026PDF arXiv

Abstract

This article provides a survey of gauge theory for families, with a particular focus on its applications to diffeomorphism groups of $4$-manifolds that were developed during the period 2021--2025.

Diffeomorphism groups and gauge theory for families

Hokuto Konno

math.GT math.DG math.SG

Published: April 16, 2026PDF arXiv

Abstract

This article provides a survey of gauge theory for families, with a particular focus on its applications to diffeomorphism groups of $4$-manifolds that were developed during the period 2021--2025.