The fine structure of Kontsevich-Zorich strata for genus 3

Abstract

We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

22 pages, 4 figures

References in corpus (1)

• Connected components of the moduli spaces of Abelian differentials with prescribed singularities