Singularities of the representation variety of the braid group on 3 strands

2016/05/31 by Kevin De Laet, De Laet, Kevin
Mathematics · #20F36 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.AG #math.GR #math.RT #msc:20F36

paper · pdf · doi:10.48550/arxiv.1605.09556

10, 2 figures

arxiv created 2016/05/31 · arxiv updated 2016/06/01

Abstract

The singularities of the representation variety of B₃ are studied, where B₃ is the knot group on 3 strands. Specifically, we determine which semisimple representations are smooth points of this variety.

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