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A surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line
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1
answer
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Centralizer of a pseudo-Anosov element
What is the centralizer of a pseudo-Anosov element in the mapping class group of an orientable punctured surface? Is it cyclic? If so, where can I find a proof?
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Ivanov's metaconjecture on surface homeomorphisms
Q1. A beautiful survey about these results is the following:
McCarthy-Papadopoulos, Simplicial actions of mapping class groups, in Handbook of Teichmüller theory Volume III
Q2. Luo's proof of t …