• Corpus ID: 233210579

Poisson maps between character varieties: gluing and capping

@inproceedings{Biswas2021PoissonMB,
  title={Poisson maps between character varieties: gluing and capping},
  author={Indranil Biswas and Jacques Hurtubise and Lisa C. Jeffrey and Sean Lawton},
  year={2021}
}
. Let G be a compact Lie group or a complex reductive affine algebraic group. We explore induced mappings between G -character varieties of surface groups by mappings between corresponding surfaces. It is shown that these mappings are generally Poisson. We also given an effective algorithm to compute the Poisson bi-vectors when G = SL(2 , C ). We demonstrate this algorithm by explicitly calculating the Poisson bi-vector for the 5-holed sphere, the first example for an Euler characteristic − 3… 
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