English

The abelianization of the level L mapping class group

Geometric Topology 2017-04-20 v3 Group Theory

Abstract

We calculate the abelianizations of the level LL subgroup of the genus gg mapping class group and the level LL congruence subgroup of the 2g×2g2g \times 2g symplectic group for LL odd and g3g \geq 3.

Keywords

Cite

@article{arxiv.0803.0539,
  title  = {The abelianization of the level L mapping class group},
  author = {Andrew Putman},
  journal= {arXiv preprint arXiv:0803.0539},
  year   = {2017}
}

Comments

9 pages, 1 figure; permanent preprint; added historical note discussing subsequent work on the subject

R2 v1 2026-06-21T10:18:22.344Z