Hamiltonian handleslides for Heegaard Floer homology

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dc.creatorPerutz, Timothy
dc.date2008-01-03
dc.date2008-02-27
dc.date.accessioned2026-07-07T09:23:12Z
dc.date.available2026-07-07T09:23:12Z
dc.descriptionA $g$-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.
dc.description24 pages, 2 figure. To appear in Proceedings of the 14th Gokova Geometry-Topology Conference. V2 has more detailed explanation of application to Heegaard Floer homology
dc.identifierhttps://arxiv.org/abs/0801.0564
dc.identifierhttp://arxiv.org/abs/0801.0564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155648
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D12; 53D40; 57M27; 32U40
dc.titleHamiltonian handleslides for Heegaard Floer homology
dc.typetext

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