Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials

Details Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials

2008-02-07

arxiv.org/abs/0802.1005v2

Mathematics

Geometric Topology

43 pages, 7 figures. Version 2: Minor typos fixed, Section 3 removed and may now be found in arXiv:0804.0434

Scientific paper

In this paper, we study fundamental groups of strata of the moduli space of
quadratic differentials. We use certain properties of the Abel-Jacobi map,
combined with local surgeries on quadratic differentials, to construct quotient
groups of the fundamental groups for a particular family of strata.

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