• Corpus ID: 118682769

McShane identities for Higher Teichm\"uller theory and the Goncharov-Shen potential

  title={McShane identities for Higher Teichm\"uller theory and the Goncharov-Shen potential},
  author={Yi Huang and Zhe Sun},
  journal={arXiv: Geometric Topology},
  • Yi HuangZhe Sun
  • Published 7 January 2019
  • Mathematics
  • arXiv: Geometric Topology
In [GS15], Goncharov and Shen introduce a family of mapping class group invariant regular functions on their $\mathcal{A}$-moduli space to explicitly formulate a particular homological mirror symmetry conjecture. Using these regular functions, we obtain McShane identities general rank positive surface group representations with loxodromic boundary monodromy and (non-strict) McShane-type inequalities for general rank positive representations with unipotent boundary monodromy. Our identities are… 

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