搜索结果: 1-9 共查到“代数学 Simplicial”相关记录9条 . 查询时间(0.062 秒)
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
Square complexes and simplicial nonpositive curvature
Square complexes simplicial nonpositive curvature Group Theory
2011/9/16
Abstract: We prove that each nonpositively curved square VH-complex can be turned functorially into a locally 6-large simplicial complex of the same homotopy type. It follows that any group acting geo...
Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Nonabelian Dold-Kan Decompositions Simplicial Symmetric-Simplicial Groups
2011/1/19
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra [CC91] in two ways. First, we show that the total order of the subgroups in their decomposition belongs to...
Fibre sequences and localization of simplicial sheaves
Fibre sequences simplicial sheaves
2010/11/24
In this paper, we provide criteria for fibre sequences of simplicial sheaves to be preserved by nullification. This generalizes a result of Berrick and Dror Farjoun and allows a better understanding o...
Geometric interpretation of simplicial formulas for the Chern-Simons invariant
Geometric interpretation simplicial formulas
2010/11/19
We give a direct interpretation of Neumann's combinatorial formula for the Chern-Simons invariant of a 3-manifold with a representation in PSL(2,C) whose restriction to the boundary takes values in u...
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where ...
Braiding for Categorical and Crossed Lie Algebras and Simplicial Lie Algebras
Simplicial Lie Algebra Categorical Lie Algebra Crossed Modul
2010/2/26
In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.
With any locally finite partially ordered set $K$ its incidence algebra $\Omega(K)$ is associated. We shall consider algebras over fields with characteristic zero. In this case there is a corresponde...
A Combinatorial Definition of n-Types of Simplicial Commutative Algebras
n-Types Simplicial Commutative Algebras
2010/3/4
In this paper, we will give a description of the functor from the category of crossed n-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on n...