Twisted Donaldson invariants

Tsuyoshi Kato; Hirofumi Sasahira; Hang Wang

doi:10.1017/S0305004121000013

Twisted Donaldson invariants

Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang

Research output: Contribution to journal › Article › peer-review

Abstract

Fundamental group of a manifold gives a deep effect on its underlying smooth structure. In this paper we introduce a new variant of the Donaldson invariant in Yang-Mills gauge theory from twisting by the Picard group of a 4-manifold in the case when the fundamental group is free abelian. We then generalise it to the general case of fundamental groups by use of the framework of non commutative geometry. We also verify that our invariant distinguishes smooth structures between some homeomorphic 4-manifolds.

Original language	English
Pages (from-to)	515-568
Number of pages	54
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	171
Issue number	3
DOIs	https://doi.org/10.1017/S0305004121000013
Publication status	Published - Nov 4 2021

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0305004121000013

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AU - Wang, Hang

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Twisted Donaldson invariants

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