The abelianization of the level 2 mapping class group

Abstract

In this paper, we determine the abelianization of the level d mapping class group for d=2 and odd d. We also extend the homomorphism of the Torelli group defined by Heap to a homomorphism of the level 2 mapping class group.

26 pages, 5 figures

References in corpus (3)

• Cohomological Aspects of Magnus Expansions
• The abelianization of the level 2 mapping class group
• The abelianization of the level L mapping class group

Cited by in corpus (11)

• The Picard group of the moduli space of curves with level structures
• The abelianization of the level 2 mapping class group
• The Torelli group and congruence subgroups of the mapping class group
• Mapping class groups of highly connected $(4k+2)$-manifolds
• The abelianization of the level L mapping class group
• Cohomology of symplectic groups and Meyer's signature theorem
• A minimal generating set of the level 2 mapping class group of a non-orientable surface
• Dyadic Torsion of Elliptic Curves
• An abelian subfield of the dyadic division field of a hyperelliptic Jacobian
• A note on 8-division fields of elliptic curves
• Two mod-p Johnson filtrations