منابع مشابه
Combinatorial Floer Homology
We define combinatorial Floer homology of a transverse pair of noncontractibe nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology.
متن کاملOn combinatorial link Floer homology
Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2 coefficients. In the present paper, we give a self-contained presentation of the basic properties of link Floer homology, including an elementary proof of its invariance. We also fix signs for the differ...
متن کاملLegendrian knots, transverse knotsand combinatorial Floer homology
Manolescu, Ozsváth and Sarkar gave [9] an explicit description of knot Floer homology for a knot in the three-sphere as the homology groups of a chain complex CK which is described in terms of the combinatorics of a grid diagram for a knot. In fact, the constructions of [9] are done with coefficients in Z=2Z; a lift of these constructions to coefficients in Z is given by Manolescu and the autho...
متن کاملOn simplification of combinatorial link Floer homology
We define a new combinatorial complex computing the hat version of link Floer homology over Z/2Z, which turns out to be significantly smaller than the Manolescu–Ozsváth–Sarkar one.
متن کاملSimplification of Combinatorial Link Floer Homology
We define a new combinatorial complex computing the hat version of link Floer homology over Z/2Z, which turns out to be significantly smaller than the Manolescu–Ozsváth–Sarkar one.
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2016
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2016.20.3219