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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
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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
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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 ...
Heegaard Floer Homology and Triple Cup Products
Heegaard Floer Homology Triple Cup Products
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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
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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...