Finite group actions in Seiberg-Witten theory. (English) Zbl 1127.57013

Cho, Yong Seung

Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 135-143 (2007).

Summary: Let \(X\) be a closed and oriented Riemannian four-manifold with \(b^+_2(X)>1\). We discuss the Seiberg-Witten invariants of \(X\) and finite group actions on \(\text{spin}^c\) structures of \(X\). We introduce and comment some of our results on the subject.
For the entire collection see [Zbl 1108.53003].

MSC:

57R57	Applications of global analysis to structures on manifolds
14J80	Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)

Keywords:

symplectic; involution; \(\text{spin}^c\)