http://katlas.math.toronto.edu/wiki/Heegaard_Floer_Knot_Homology WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. Let Y be a closed three-manifold with trivial first homology, and let K ⊂ Y be a knot. We give a description of the Heegaard Floer homology of integer surgeries on Y along K in terms of the filtered homotopy type of the knot invariant for K. As an illustration of these …
[1401.7107] An introduction to knot Floer homology - arXiv
WebNov 12, 2004 · Knot Floer homology and integer surgeries November 2004 Algebraic & Geometric Topology 8 (1) DOI: 10.2140/agt.2008.8.101 Source arXiv Authors: Peter … WebJan 28, 2012 · For a 3-manifold with torus boundary admitting an appropriate involution, we show that Khovanov homology provides obstructions to certain exceptional Dehn fillings. For example, given a strongly invertible knot in S 3, we give obstructions to lens space surgeries, as well as obstructions to surgeries with finite fundamental group. These … darty iphone 7 128 go
Knot Floer homology and integer surgeries - arxiv-vanity.com
WebLet Y be a closed three-manifold with trivial first homology, and let K⊂Y be a knot. We give a description of the Heegaard Floer homology of integer surgeries on Y along K in terms of the filtered homotopy type of the knot invariant for K. As an illustration of these techniques, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over … WebJun 25, 2003 · Abstract: We define a Floer-homology invariant for knots in an oriented three-manifold, closely related to the Heegaard Floer homologies for three-manifolds defined in an earlier paper. We set up basic properties of these invariants, including an Euler characteristic calculation, and a description of the behavior under connected sums. WebFigure 2. The doubly-filtered knot complex for the torus knot T3,4. We have illustrated here the plane, representing filtration levels of generators. A dot at a lattice point (i, j) … darty iphone 8 neuf