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Twisted Donaldson invariants.
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . Nov2021, Vol. 171 Issue 3, p515-568. 54p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *YANG-Mills theory
*PICARD groups
*FUNDAMENTAL groups (Mathematics)
*FREE groups
Subjects
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 171
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 153033894
- Full Text :
- https://doi.org/10.1017/S0305004121000013