%0 Journal Article
%T Hamiltonian handleslides for Heegaard Floer homology
%A Timothy Perutz
%J Mathematics
%D 2008
%I arXiv
%X A $g$-tuple of disjoint, linearly independent circles in a Riemann surface of genus $g$ determines a `Heegaard torus' in its $g$-fold symmetric product. Changing the circles by a handleslide produces a new torus. It is proved that, for symplectic forms with certain properties, these two tori are Hamiltonian-isotopic Lagrangian submanifolds. This provides an alternative route to the handleslide-invariance of Ozsvath-Szabo's Heegaard Floer homology.
%U http://arxiv.org/abs/0801.0564v2