English

Representation Variety of Surface Groups

Representation Theory 2017-04-19 v2

Abstract

We give an exact formula for the dimension of the variety of homomorphisms from SgS_g to any\mathit{any} semisimple real algebraic group, where SgS_g is a surface group of genus g2g \geq 2.

Keywords

Cite

@article{arxiv.1702.05981,
  title  = {Representation Variety of Surface Groups},
  author = {Krishna Kishore},
  journal= {arXiv preprint arXiv:1702.05981},
  year   = {2017}
}

Comments

An exact formula is given for the dimension of the variety. A new section contains results that leads to the formula

R2 v1 2026-06-22T18:22:59.383Z