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math.GT2025
Heegaard Floer homology and the word metric on the Torelli group
Santana Afton, Miriam Kuzbary, Tye Lidman
We study a relationship between the Heegaard Floer homology correction terms of integral homology spheres and the word metric on the Torelli group. For example, we give an elementa…
math.GT2020★ 9 cited
Nielsen realization for infinite-type surfaces
Santana Afton, Danny Calegari, Lvzhou Chen +1
Given a finite subgroup G of the mapping class group of a surface S, the Nielsen realization problem asks whether G can be realized as a finite group of homeomorphisms of S. In 198…