135 citations · 461 across the 18 of their papers we have counts for
18 papers
The complex of free factors of a free group
Allen Hatcher, Karen Vogtmann
This paper corrects an error in a proof in the original version of the paper published in 1998 in the Oxford Quarterly. The main theorem remains the same: The geometric realization…
Tethers and homology stability for surfaces
Allen Hatcher, Karen Vogtmann
Homological stability for sequences of groups is often proved by studying the spectral sequence associated to the action of a typical group in the sequence on a highly-connected si…
Assembling homology classes in automorphism groups of free groups
James Conant, Allen Hatcher, Martin Kassabov +1
The observation that a graph of rank can be assembled from graphs of smaller rank with leaves by pairing the leaves together leads to a process for assembling homology…
The Kirby torus trick for surfaces
Allen Hatcher
This is an expository paper giving a proof of the existence and uniqueness of smooth structures (hence also PL structures) on topological surfaces. Most published proofs rely on th…
Generating the Torelli group
Allen Hatcher, Dan Margalit
We give a new proof of the theorem of Birman-Powell that the Torelli subgroup of the mapping class group of a closed orientable surface of genus at least 3 is generated by simple h…
A short exposition of the Madsen-Weiss theorem
Allen Hatcher
This is an exposition of a proof of the Madsen-Weiss Theorem, which asserts that the homology of mapping class groups of surfaces, in a stable dimension range, is isomorphic to the…