98 citations · 336 across the 20 of their papers we have counts for
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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…
Counting Feynman-like graphs: Quasimodularity and Siegel-Veech weight
Elise Goujard, Martin Moeller
We prove the quasimodularity of generating functions for counting torus covers, with and without Siegel-Veech weight. Our proof is based on analyzing decompositions of flat surface…
Lower bounds for Lyapunov exponents of flat bundles on curves
Alex Eskin, Maxim Kontsevich, Martin Moeller +1
Consider a flat bundle over a complex curve. We prove a conjecture of Fei Yu that the sum of the top k Lyapunov exponents of the flat bundle is always greater or equal to the degre…
Quasimodularity and large genus limits of Siegel-Veech constants
Dawei Chen, Martin Moeller, Don Zagier
Quasimodular forms were first studied in the context of counting torus coverings. Here we show that a weighted version of these coverings with Siegel-Veech weights also provides qu…
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…