28 citations · 122 across the 14 of their papers we have counts for
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A Birman exact sequence for the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
We develop an analogue of the Birman exact sequence for the Torelli subgroup of Aut(F_n). This builds on earlier work of the authors who studied an analogue of the Birman exact seq…
On the second homology group of the Torelli subgroup of Aut(F_n)
Matthew B. Day, Andrew Putman
Let IA_n be the Torelli subgroup of Aut(F_n). We give an explicit finite set of generators for H_2(IA_n) as a GL_n(Z)-module. Corollaries include a version of surjective representa…
A Birman exact sequence for Aut(F_n)
Matthew B. Day, Andrew Putman
The Birman exact sequence describes the effect on the mapping class group of a surface with boundary of gluing discs to the boundary components. We construct an analogous exact seq…
Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups
Matthew B. Day
We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Mor…
Extended flux maps on surfaces and the contracted Johnson homomorphism
Matthew B. Day
On a closed symplectic surface Sigma of genus two or more, we give a new construction of an extended flux map (a crossed homomorphism from the symplectomorphism group Symp(Sigma) t…
Extending Johnson's and Morita's homomorphisms to the mapping class group
Matthew B. Day
We extend certain homomorphisms defined on the higher Torelli subgroups of the mapping class group to crossed homomorphisms defined on the entire mapping class group. In particular…