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arXiv · 0801.0564

Hamiltonian handleslides for Heegaard Floer homology

Timothy Perutz
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Abstract

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.

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Timothy Perutz. 2008-02-27. Hamiltonian handleslides for Heegaard Floer homology. https://arxiv.org/abs/0801.0564

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