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math.GT2026
Poisson bracket of trace functions on the Fuchsian locus and Wolpert's formulas
Deblina Das, Arpan Kabiraj
We develop a systematic method for computing traces of products of Möbius transformations associated with oriented geodesics on a hyperbolic surface. The method is based on a norma…
math.GT2026
Non-injectivity of the trace map for character varieties
Deblina Das, Arpan Kabiraj
Given a closed oriented surface of genus at least two, the Goldman trace map defines a function from the vector space generated by the free homotopy classes of oriented closed…