2 papers
math.GT2022
Lie algebras of curves and loop-bundles on surfaces
Juan Alonso, Miguel Paternain, Javier Peraza +1
W. Goldman and V. Turaev defined a Lie bialgebra structure on the -module generated by free homotopy classes of loops of an oriented surface (i.e. the conjugacy classes…
math.DS2020
Generic Rotation Sets in Hyperbolic Surfaces
J. Alonso, J. Brum, A. Passeggi
We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus , the rotation set is given by a union of at most convex…