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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.
Walker, Katharine C 1
@article{GT_2010_14_2_a12, author = {Walker, Katharine C}, title = {Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials}, journal = {Geometry & topology}, pages = {1129--1164}, publisher = {mathdoc}, volume = {14}, number = {2}, year = {2010}, doi = {10.2140/gt.2010.14.1129}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1129/} }
TY - JOUR AU - Walker, Katharine C TI - Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials JO - Geometry & topology PY - 2010 SP - 1129 EP - 1164 VL - 14 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1129/ DO - 10.2140/gt.2010.14.1129 ID - GT_2010_14_2_a12 ER -
%0 Journal Article %A Walker, Katharine C %T Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials %J Geometry & topology %D 2010 %P 1129-1164 %V 14 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1129/ %R 10.2140/gt.2010.14.1129 %F GT_2010_14_2_a12
Walker, Katharine C. Quotient groups of the fundamental groups of certain strata of the moduli space of quadratic differentials. Geometry & topology, Tome 14 (2010) no. 2, pp. 1129-1164. doi : 10.2140/gt.2010.14.1129. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.1129/
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