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math.GT2022
Linking numbers of modular knots
Christopher-Lloyd Simon
The modular group PSL(2;Z) acts on the hyperbolic plane HP with quotient the modular surface M, whose unit tangent bundle U is a 3-manifold homeomorphic to the complement of the tr…
math.GT2021
Valuations on the character variety: Newton polytopes and Residual Poisson Bracket
Julien Marché, Christopher-Lloyd Simon
We study the space of measured laminations ML on a closed surface from the valuative point of view. We introduce and study a notion of Newton polytope for an algebraic function on…
math.GT2019★ 1 cited
Automorphisms of character varieties
Julien Marché, Christopher-Lloyd Simon
We show that the algebraic automorphism group of the SL(2,C) character variety of a closed orientable surface with negative Euler characteristic is a finite extension of its mappin…