Representation Variety of Surface Groups

2017/02/20 by Krishna Kishore, Kishore, Krishna
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1702.05981

openalex publication_date 2017/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an exact formula for the dimension of the variety of homomorphisms from S_g to any semisimple real algebraic group, where S_g is a surface group of genus g ≥ 2.

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