The Torelli group and congruence subgroups of the mapping class group

Details The Torelli group and congruence subgroups of the mapping class group The Torelli group and congruence subgroups of the mapping class group

2012-01-18

arxiv.org/abs/1201.3946v1

Mathematics

Geometric Topology

26 pages, 8 figures; to appear in Park City Mathematics Series

Scientific paper

These are the lecture notes for my course at the 2011 Park City Mathematics Graduate Summer School. The first two lectures covered the basics of the Torelli group and the Johnson homomorphism, and the third and fourth lectures discussed the second cohomology group of the level p congruence subgroup of the mapping class group, following my papers "The second rational homology group of the moduli space of curves with level structures" and "The Picard group of the moduli space of curves with level structures".

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