Real determinant line bundles
Christian Okonek, Andrei Teleman
TL;DR
This paper explores the topological and gauge-theoretical properties of real determinant line bundles, connecting concepts from Abelian Yang-Mills theory on real tori to theta divisors of Klein surfaces.
Contribution
It provides an expanded analysis of real determinant line bundles, integrating topological and gauge-theoretical perspectives with applications to Klein surfaces.
Findings
Analysis of topological aspects of real determinant line bundles
Gauge-theoretical insights into Abelian Yang-Mills theory on real tori
Connections between theta divisors and Klein surfaces
Abstract
This article is an expanded version of the talk given by Ch. O. at the Second Latin Congress on "Symmetries in Geometry and Physics" in Curitiba, Brazil in December 2010. In this version we explain the topological and gauge-theoretical aspects of our paper "Abelian Yang-Mills theory on Real tori and Theta divisors of Klein surfaces".
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology