Orientability and real Seiberg-Witten invariants
Gang Tian, Shuguang Wang
TL;DR
This paper explores the extension of Seiberg-Witten invariants to real structures, establishing conditions for their definition and analyzing their properties via Fredholm map degrees.
Contribution
It introduces conditions for defining integer-valued real Seiberg-Witten invariants and studies their properties through the lens of Fredholm map degrees.
Findings
Conditions for integer-valued real Seiberg-Witten invariants are established.
Properties of the real Seiberg-Witten projection map are analyzed.
The study connects real structures with Fredholm map degrees.
Abstract
We investigate Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer valued real Seiberg-Witten invariants can be defined. In general we study properties of the real Seiberg-Witten projection map from the point of view of Fredholm map degrees.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Mathematics and Applications