Longitude Floer homology and the Whitehead double
نویسندگان
چکیده
منابع مشابه
On the Heegaard Floer Homology of Branched Double-covers
Let L ⊂ S be a link. We study the Heegaard Floer homology of the branched double-cover Σ(L) of S, branched along L. When L is an alternating link, ĤF of its branched double-cover has a particularly simple form, determined entirely by the determinant of the link. For the general case, we derive a spectral sequence whose E term is a suitable variant of Khovanov’s homology for the link L, convergi...
متن کاملHeegaard Floer Homology, Double Points and Nice Diagrams
The Heegaard Floer chain complexes are defined by counting embedded curves in Σ×[0, 1]×R. In [Lip06], it was shown that the chain complex ĈF can be elaborated by taking into account curves with double points. In this note, we extend results of Manolescu-Ozsváth-Sarkar and Sarkar-Wang on computing CFK and ĈF to this elaborated complex. The extension has a particularly nice form for grid diagrams...
متن کاملOn Knot Floer Homology in Double Branched Covers
Let L be a link in A×I where A is an annulus. We consider A×I to be embedded in R2×R respecting the obvious fibration and embedding A into a round annulus in R2. We always project L into R2 (or A) along the R-fibration. The complement of L in A × I is thereby identified with the complement of B∪L in S3 where B an unknot as depicted below, called the axis of L. We assume throughout that L inters...
متن کاملRabinowitz Floer Homology and Symplectic Homology
The first two authors have recently defined RabinowitzFloer homology groups RFH∗(M,W ) associated to an exact embedding of a contact manifold (M, ξ) into a symplectic manifold (W,ω). These depend only on the bounded component V of W \ M . We construct a long exact sequence in which symplectic cohomology of V maps to symplectic homology of V , which in turn maps to Rabinowitz-Floer homology RFH∗...
متن کاملFloer Homology and Invariants of Homology Cobordism
By using surgery techniques, we compute Floer homology for certain classes of integral homology 3-spheres homology cobordant to zero. We prove that Floer homology is two-periodic for all these manifolds. Based on this fact, we introduce a new integer valued invariant of integral homology 3-spheres. Our computations suggest its homology cobordism invariance.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2005
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2005.5.1389