Torsion classes and a universal constraint on Donaldson invariants for odd manifolds

Author:

Akbulut Selman,Mrowka Tom,Ruan Yongbin

Abstract

This paper studies the topology of the gauge group and gives mod 2 \bmod \,2 universal relations along Donaldson polynomials of smooth 4 4 -manifolds, generalizing Y. Ruan’s previous related result.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. On universal relations in gauge theory;Akbulut, Selman;Trans. Amer. Math. Soc.,1996

2. Topological aspects of Yang-Mills theory;Atiyah, M. F.;Comm. Math. Phys.,1978

3. Classification of oriented sphere bundles over a 4-complex;Dold, A.;Ann. of Math. (2),1959

4. Connections, cohomology and the intersection forms of 4-manifolds;Donaldson, S. K.;J. Differential Geom.,1986

5. Polynomial invariants for smooth four-manifolds;Donaldson, S. K.;Topology,1990

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1. On Counting Flat Connections Over $$G_2$$-Orbifolds;Communications in Mathematical Physics;2024-05

2. Twisted Donaldson invariants;Mathematical Proceedings of the Cambridge Philosophical Society;2021-02-04

3. Stable isotopy in four dimensions;Journal of the London Mathematical Society;2015-01-20

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