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math.GT2020★ 1 cited
Haupt's theorem for strata of abelian differentials
Matt Bainbridge, Chris Johnson, Chris Judge +1
Let S be a closed topological surface. Haupt's theorem provides necessary and sufficient conditions for a complex-valued character of the first integer homology group of S to be re…
math.GT2017
The maximum number of systoles for genus two Riemann surfaces with abelian differentials
Chris Judge, Hugo Parlier
In this article, we provide bounds on systoles associated to a holomorphic -form on a Riemann surface . In particular, we show that if has genus two, then, up to homo…
math.GT2010
Ellipses in translation surfaces
S. Allen Broughton, Chris Judge
We characterize subgroups of the mapping class group that stabilize a Teichmueller disk in terms of ellipses and strips that are immersed in the associated translation surface. In…