Order in the concordance group and Heegaard Floer homology
نویسندگان
چکیده
منابع مشابه
Applications of Heegaard Floer Homology to Knot and Link Concordance
Applications of Heegaard Floer Homology to Knot and Link Concordance
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Using the conjugation symmetry on Heegaard Floer complexes, we define a three-manifold invariant called involutive Heegaard Floer homology, which is meant to correspond to Z4-equivariant Seiberg-Witten Floer homology. Further, we obtain two new invariants of homology cobordism, d and d̄, and two invariants of smooth knot concordance, V 0 and V 0. We also develop a formula for the involutive Heeg...
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In [23] we introduced a knot invariant for a null-homologous knot K in an oriented three-manifold Y , which is closely related to the Heegaard Floer homology of Y (c.f. [21]). In this paper we investigate some properties of these knot homology groups for knots in the three-sphere. We give a combinatorial description for the generators of the chain complex and their gradings. With the help of th...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2007
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2007.11.979