105 citations · 249 across the 12 of their papers we have counts for
3 papers · 1 filter
Strata of -differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
A -differential on a Riemann surface is a section of the -th power of the canonical line bundle. Loci of -differentials with prescribed number and multiplicities of zeros…
Compactification of strata of abelian differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron +2
We describe the closure of the strata of abelian differentials with prescribed type of zeros and poles, in the projectivized Hodge bundle over the Deligne-Mumford moduli space of s…
Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1)
Matt Bainbridge, John Smillie, Barak Weiss
We study dynamics of the horocycle flow on strata of translation surfaces, introduce new invariants for ergodic measures, and analyze the interaction of the horocycle flow and real…