搜索结果: 1-15 共查到“理学 Homology”相关记录94条 . 查询时间(0.06 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
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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 ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Instanton Floer homology and Heegaard diagrams
瞬子 弗洛尔同调和 希加德图
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2023/4/21
Instanton Floer homology was introduced by Floer in 1980s and has become a power invariants for three manifolds and knots since then. It has lead to many milestone results, such as the approval of Pro...
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
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2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
Knot Contact Homology and Open Strings
Knot Contact Homology Open Strings
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2014/12/8
In this thesis, we give a topological interpretation of knot contact homology, by considering intersections of a particular class of chains of open strings with the knot itself. In doing so, we provid...
A spectral sequence on lattice homology
Lattice homology Heegaard Floer homology spectral sequence
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2012/6/29
Using the link surgery formula for Heegaard Floer homology we find a spectral sequence from the lattice homology of a plumbing tree to the Heegaard Floer homology of the corresponding 3-manifold. This...
Combinatorial resolutions of multigraded modules and multipersistent homology
Combinatorial resolutions multigraded modules multipersistent homology Algebraic Topology
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2012/6/30
Let $ R=k[x_1...x_r]$ and $M$ a multigraded $R-$module. In this work we interpret $M$ as a multipersistent homology module and give a multigraded resolution of it. The construction involves cellular r...
Brown's criterion in Bredon homology
Brown's criterion Bredon homology Group Theory
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2012/6/21
We translate Brown's criterion for homological finiteness properties to the setting of Bredon homology.
Symmetric Squaring in Homology and Bordism
algebraic topology homology theory bordism Cech homology
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2012/6/19
Looking at the cartesian product X \times X of a topological space X with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that maps (x, ...
Equivariant semi-topological K-homology and a theorem of Thomason
Equivariant semi-topological K-homology a theorem of Thomason K-Theory and Homology
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2012/6/19
We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group. Moreover, we show that Walker's theorem ...
Homological eigenvalues of mapping classes and torsion homology growth for fibered 3--manifolds
Homological eigenvalues mapping classes torsion homology growth fibered 3--manifolds Group Theory
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2012/5/9
Let S be an orientable surface with negative Euler characteristic, let \psi\in\Mod(S) be a mapping class of S, and let T_{\psi} be the mapping torus of \psi. We study the action of lifts of \psi on th...
Hochschild homology of Hopf algebras and free Yetter-Drinfeld resolutions of the counit
Hochschild homology of Hopf algebras free Yetter-Drinfeld resolutions the counit K-Theory and Homology
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2012/4/18
We show that if $A$ and $H$ are Hopf algebras that have equivalent tensor categories of comodules, then one can transport what we call a free Yetter-Drinfeld resolution of the counit of $A$ to the sam...
HF=HM V: Seiberg-Witten-Floer homology and handle addition
Seiberg-Witten-Floer homology handle addition Geometric Topology
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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.
Persistent Homology of Filtered Covers
persistent homology nerve lemma topological data analysis
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2012/2/29
We prove an extension to the simplicial Nerve Lemma which establishes isomorphism of persistent homology groups, in the case where the covering spaces are filtered. While persistent homology is now wi...
Monopole Floer homology and Legendrian knots
Monopole Floer homology Legendrian knots Symplectic Geometry
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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...