Covering spaces and Q-gradings on Heegaard Floer homology

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dc.creatorLee, Dan A.
dc.creatorLipshitz, Robert
dc.date2006-07-31
dc.date2008-05-23
dc.date.accessioned2026-07-07T09:40:28Z
dc.date.available2026-07-07T09:40:28Z
dc.descriptionHeegaard Floer homology, first introduced by P. Ozsvath and Z. Szabo, associates to a 3-manifold Y a family of relatively graded Abelian groups HF(Y,t), indexed by Spin^c structures t on Y. In the case that Y is a rational homology sphere, Ozsvath and Szabo lift the relative Z-grading to an absolute Q-grading. This induces a relative Q-grading on \bigoplus_{t\in Spin^c(Y)} HF(Y,t). In this paper we describe an alternate construction of this relative Q-grading by studying the Heegaard Floer homology of covering spaces.
dc.description25 pages, 1 figure. Minor revisions. This version matches published version more closely
dc.identifierhttps://arxiv.org/abs/math/0608001
dc.identifierhttp://arxiv.org/abs/math/0608001
dc.identifierJournal of Symplectic Geometry, Volume 6, Number 1, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161495
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R17; 57R58; 57M27
dc.titleCovering spaces and Q-gradings on Heegaard Floer homology
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