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math.GT2019
Higher spin mapping class groups and strata of Abelian differentials over Teichm{ü}ller space
Aaron Calderon, Nick Salter
For , we give a complete classification of the connected components of strata of abelian differentials over Teichmüller space, establishing an analogue of Kontsevich and Z…
math.GT2019
Linear-central filtrations and the image of the Burau representation
Nick Salter
The Burau representation is a fundamental bridge between the braid group and diverse other topics in mathematics. A 1974 question of Birman asks for a description of the image; in…