72 citations · 481 across the 42 of their papers we have counts for
Showing 2019 · math.GTShow all
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math.GT2019★ 36 cited
Large scale geometry of big mapping class groups
Kathryn Mann, Kasra Rafi
We study the large-scale geometry of mapping class groups of surfaces of infinite type, using the framework of Rosendal for coarse geometry of non locally compact groups. We give a…
math.GT2019
Sublinearly Morse Boundary I: CAT(0) Spaces
Yulan Qing, Kasra Rafi, Giulio Tiozzo
To every Gromov hyperbolic space X one can associate a space at infinity called the Gromov boundary of X. Gromov showed that quasi-isometries of hyperbolic metric spaces induce hom…
math.GT2019★ 1 cited
Centralizers in Mapping Class Group and decidability of Thurston Equivalence
Kasra Rafi, Nikita Selinger, Michael Yampolsky
We find a constructive bound for the word length of a generating set for the centralizer of an element of the Mapping Class Group. As a consequence, we show that it is algorithmica…