搜索结果: 1-15 共查到“代数学 homology”相关记录16条 . 查询时间(0.056 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...
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
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...
We translate Brown's criterion for homological finiteness properties to the setting of Bredon homology.
Equivariant semi-topological K-homology and a theorem of Thomason
Equivariant semi-topological K-homology a theorem of Thomason K-Theory and Homology
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
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
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...
Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
Vanishing of Tate homology and depth formulas over local rings
AB ring complete intersection ring depth formula Gorenstein ring rigidity of Tor Tate homology
2011/9/9
Abstract: Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth(M \otimes N) = depth(M) + depth(N) - depth(R),
has been generalized in several directions ...
Cyclic homology of braided Hopf crossed products
Crossed products Hochschild (co)homology Cyclic homology
2011/8/25
Abstract: Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that gives the...
Super duality and homology of unitarizable modules of Lie algebras
Super duality homology of unitarizable modules of Lie algebras
2011/1/18
The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types gl(n), sp(2n) and so(2n) are obtained.As a consequence, we recover the Enright...
Homotopy invariance for homology of linear groups: reductions and the rank two case
linear groups the rank two case
2010/11/24
We discuss the problem of homotopy invariance for homology of linear groups. Some reductions we are able to make show that homotopy invariance for linear groups follows from contractibility of a cert...
Homology computations for complex braid groups
Homology computations complex braid groups
2010/11/23
Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these gro...
Lie-Hopf algebras and loop homology of suspension spaces
Lie-Hopf algebras loop homology suspension spaces
2010/11/18
For an arbitrary topological space $X$, the loop space homology $H_*(\Omega\Sigma X; \mathbb{Z})$ is a Hopf algebra. We introduce a new homotopy invariant of a topological space $X$ that takes values...
Cyclic structures in algebraic (co)homology theories
Cyclic structures algebraic (co)homology theories
2010/11/22
This note discusses the cyclic cohomology of a left Hopf algebroid ($\times_A$-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward generalisation of the o...
Some results on homology of Leibniz and Lie n-algebras
Semi-abelian category higher central extension higher Hopf formula
2010/12/3
From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Li...