Link homology theories from symplectic geometry

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dc.creatorManolescu, Ciprian
dc.date2006-01-25
dc.date2006-09-12
dc.date.accessioned2026-07-07T06:59:19Z
dc.date.available2026-07-07T06:59:19Z
dc.descriptionFor each positive integer n, Khovanov and Rozansky constructed an invariant of links in the form of a doubly-graded cohomology theory whose Euler characteristic is the sl(n) link polynomial. We use Lagrangian Floer cohomology on some suitable affine varieties to build a similar series of link invariants, and we conjecture them to be equal to those of Khovanov and Rozansky after a collapsation of the bigrading. Our work is a generalization of that of Seidel and Smith, who treated the case n=2.
dc.description47 pages, 6 figures; revised version
dc.identifierhttps://arxiv.org/abs/math/0601629
dc.identifierhttp://arxiv.org/abs/math/0601629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107703
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D40; 57R58
dc.titleLink homology theories from symplectic geometry
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