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math.GT2024
Loops, Holonomy and Signature
Juan Alonso, Juan Manuel Burgos, Miguel Paternain
We show that there is a topology on certain groups of loops in Euclidean space such that these groups are embedded in a Fréchet-Lie group which is the structural group of a princip…
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…