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math.GT2018
Introduction to quantum representations of mapping class groups
Julien Marché
We provide an (almost) self-contained construction of the Witten-Reshetikhin-Turaev representations of the mapping class group. We describe its properties including its Hermitian s…
math.GR2018
The parallelogram identity on groups and deformations of the trivial character in SL_2(C)
Julien Marché, Maxime Wolff
We describe on any finitely generated group G the space of maps G->C which satisfy the parallelogram identity, f(xy)+f(xy^{-1})=2f(x)+2f(y). It is known (but not well-known) that t…