搜索结果: 1-15 共查到“数学 Floer homology”相关记录16条 . 查询时间(0.063 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A link invariant from higher-dimensional Heegaard Floer homology
高维 Heegaard-Floer同调 链接不变量
2023/11/13
We define a higher-dimensional analogue of symplectic Khovanov homology. Consider the standard Lefschetz fibration of a 2n-dimensional Milnor fiber of the A_{k-1} singularity. We represent a link by a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
HF=HM V: Seiberg-Witten-Floer homology and handle addition
Seiberg-Witten-Floer homology handle addition Geometric Topology
2012/4/17
This is the last of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold.
Monopole Floer homology and Legendrian knots
Monopole Floer homology Legendrian knots Symplectic Geometry
2011/9/29
Abstract: We use monopole Floer homology for sutured manifolds to construct invariants of Legendrian knots in a contact 3-manifold. These invariants assign to a knot K in Y elements of the monopole kn...
On Khovanov-Seidel quiver algebras and bordered Floer homology
Khovanov-Seidel quiver algebras bordered Floer homology Geometric Topology
2011/9/6
Abstract: We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associat...
A rank inequality for the knot Floer homology of double branched covers
the knot Floer homology double branched covers Geometric Topology
2011/9/1
Abstract: Given a knot $K$ in $S^3$, let $\Sigma(K)$ be the double branched cover of $S^3$ over $K$. We show there is a spectral sequence whose $E^1$ page is $(\hat{HFK}(\Sigma(K), K) \otimes V^{n-1})...
Combinatorial knot Floer homology and cyclic double branched covers
Combinatorial knot Floer homology cyclic double branched covers Geometric Topology
2011/8/26
Abstract: Using a Heegaard diagram for the pullback of a knot $K \subset S^3$ in its cyclic double branched cover $\Sigma_2(K)$, we give a combinatorial proof for the invariance of knot Floer homology...
Symmetries and adjunction inequalities for knot Floer homology
Symmetries adjunction inequalities knot Floer homology
2011/1/21
We derive symmetries and adjunction inequalities of the knot Floer homology groups which appear to be especially interesting for homologically essential knots.
Sutured Floer homology distinguishes between Seifert surfaces
Sutured Floer homology distinguishes Seifert surfaces
2011/3/1
In this note we exhibit the first example of a knot K in the three-sphere S3 with a pair of minimal genus Seifert surfaces R1 and R2 that can be distinguished using the sutured Floer homology of their...
Heegaard Floer Homology and Triple Cup Products
Heegaard Floer Homology Triple Cup Products
2010/11/23
We give a complete calculation of the infinity flavor of Heegaard Floer homology with mod 2 coefficients for all three-manifolds and torsion Spin^c structures. The computation agrees with the conjectu...
Heegaard Floer homology and integer surgeries on links
Heegaard Floer homology integer surgeries on links
2010/11/11
Let L be a link in an integral homology three-sphere. We give a description of the Heegaard Floer homology of integral surgeries on L in terms of some data associated to L, which we call a complete sy...
Bordered Floer homology and the branched double cover I
Floer homology branched double cover I
2010/11/9
Given a link in the three-sphere, Z. Szab\'o and the second author constructed a spectral sequence starting at the Khovanov homology of the link and converging to the Heegaard Floer homology of its br...
Index computations in Rabinowitz Floer homology
Index computations Rabinowitz Floer homology
2010/12/9
In this note we study two index questions. In the first we establish the relationship between the Morse indices of the free time action functional and the fixed time action functional. The
second is ...
We construct instanton Floer homology for lens spaces L(p, q). As an application, we prove that X = CP2#CP2 does not admits a decomposition X = X1 [ X2. Here X1 and X2 are oriented, simply connected, ...
Floer homology and its continuity for non-compact Lagrangian submanifolds
Floer homology non-compact Lagrangian submanifolds
2010/3/1
We give a construction of the Floer homology of the pair of vnon-compact Lagrangian submanifolds, which satisfies natural continuity property under the Hamiltonian isotopy that moves the infinity but ...