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math.GT2020
Framed mapping class groups and the monodromy of strata of Abelian differentials
Aaron Calderon, Nick Salter
This paper investigates the relationship between strata of abelian differentials and various mapping class groups afforded by means of the topological monodromy representation. Bui…
math.GT2020
Relative homological representations of framed mapping class groups
Aaron Calderon, Nick Salter
Let be a surface with either boundary or marked points, equipped with an arbitrary framing. In this note we determine the action of the associated "framed mapping class group"…
math.GT2019
Connected components of strata of Abelian differentials over Teichmüller space
Aaron Calderon
This paper describes connected components of the strata of holomorphic abelian differentials on marked Riemann surfaces with prescribed degrees of zeros. Unlike the case for unmark…