Representations of surface groups in the general linear group
Steven B. Bradlow (University of Illinois), Oscar Garcia-Prada (IMAFF,, CSIC, Madrid), Peter B. Gothen (Universidade do Porto)
TL;DR
This paper investigates the structure of the moduli space of surface group representations into the general linear group, focusing on counting its connected components.
Contribution
It provides a determination of the number of connected components of the moduli space for these representations.
Findings
Number of connected components explicitly determined
Moduli space structure clarified for surface group representations
Contributes to understanding of surface group representation varieties
Abstract
We determine the number of connected components of the moduli space for representations of a surface group in the general linear group.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology