Explicit Koszul-dualizing bimodules in bordered Heegaard Floer homology
نویسندگان
چکیده
منابع مشابه
Bordered Heegaard Floer Homology: Invariance and Pairing
We construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented two-manifold a di erential graded algebra. For a three-manifold with speci ed boundary, the invariant comes in two di erent versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-de ned up to chain homotopy equivale...
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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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We review the construction of Heegaard–Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invariant to knot theory: studying the Thurston norm of a link complement, the slice genus of a knot, and the unknotting number of a knot. We emphasize the application to the Thurston norm, and illustrate the theory in the ...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2016
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2016.16.231