35 citations · 35 across the 2 of their papers we have counts for
2 papers
math.SG2010
A sharp bound on fixed points of surface symplectomorphisms in each mapping class
Andrew Cotton-Clay
Given a closed, oriented surface, possibly with boundary, and a mapping class, we obtain sharp lower bounds on the number of fixed points of a surface symplectomorphism (i.e. area-…
math.SG2008★ 35 cited
Symplectic Floer homology of area-preserving surface diffeomorphisms
Andrew Cotton-Clay
The symplectic Floer homology HF_*(f) of a symplectomorphism f:S->S encodes data about the fixed points of f using counts of holomorphic cylinders in R x M_f, where M_f is the mapp…