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math.GT2020
Taut foliations leafwise branch cover S^2
Danny Calegari
A co-oriented foliation F of an oriented 3-manifold M is taut if and only if there is a map from M to the 2-sphere whose restriction to every leaf is a branched cover.
math.DG2020
Counting minimal surfaces in negatively curved 3-manifolds
Danny Calegari, Fernando C. Marques, André Neves
We introduced an asymptotic quantity that counts area-minimizing surfaces in negatively curved closed 3-manifolds and show that quantity to only be minimized, among all metrics of…
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…