搜索结果: 1-15 共查到“理学 Simplicial”相关记录32条 . 查询时间(0.093 秒)
三亚国际数学论坛：Curvatures of Graphs,Simplicial Complexes and Metric Spaces（Curvatures of Graphs,Simplicial Complexes and Metric Spaces ）
三亚国际数学论坛 Curvatures of Graphs Simplicial Complexes Metric Spaces
font style='font-size:12px;'>
2017/1/10
Curvature is a notion originally developed in differential and Riemannian geometry. It was then discovered that curvature inequalities in Riemannian manifolds are equivalent to other geometric propert...
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
font style='font-size:12px;'>
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 ...
From simplicial Chern-Simons theory to the shadow invariant II
simplicial Chern-Simons theory the shadow invariant II Mathematical Physics
font style='font-size:12px;'>
2012/6/18
This is the second of a series of papers in which we develop a "discretization approach" for the rigorous realization of the non-Abelian Chern-Simons path integral for manifolds M of the form M=Sigma ...
Square complexes and simplicial nonpositive curvature
Square complexes simplicial nonpositive curvature Group Theory
font style='font-size:12px;'>
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...
The Simplicial Ricci Tensor
Simplicial Ricci Tensor Differential Geometry
font style='font-size:12px;'>
2011/10/8
Abstract: The Ricci tensor (Ric) is fundamental to Einstein's geometric theory of gravitation. The 3-dimensional Ric of a spacelike surface vanishes at the moment of time symmetry for vacuum spacetime...
Simplicial gauge theory and quantum gauge theory simulation
Lattice gauge theory QCD Finite element method
font style='font-size:12px;'>
2011/9/29
Abstract: We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several ...
Simplicial gauge theory on spacetime
Lattice gauge theory QCD simplicial complex Yang-Mills theory Finite element method
font style='font-size:12px;'>
2011/8/29
Abstract: We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency o...
d-Representability of simplicial complexes of fixed dimension
Combinatorics d-Representability fixed dimension
font style='font-size:12px;'>
2011/8/26
Abstract: Let K be a simplicial complex with vertex set V = {v_1,..., v_n}. The complex K is d-representable if there is a collection {C_1,...,C_n} of convex sets in R^d such that a subcollection {C_{...
Simplicial Homeology and Homeotopy
simplicial complex (co)homology (co)homeology homotopy homeotopy homeomorphism
font style='font-size:12px;'>
2011/8/23
Abstract: In this paper, we define homeology group, reduced homeology group, cohomeology group and reduced cohomeology group on finite simpicial complexes and prove that these groups are homeomorphism...
A characterization of simplicial localization functors
characterization simplicial localization functors
font style='font-size:12px;'>
2011/1/19
We characterize simplicial localization functors among relative functors from relative categories to simplicial categories as any choice of ho-motopy inverse to the delocalization functor of Dwyer and...
Simplicial volume and fillings of hyperbolic manifolds
Simplicial volume fillings of hyperbolic manifolds
font style='font-size:12px;'>
2011/1/18
Let M be a hyperbolic n–manifold whose cusps have torus crosssections.In [FM10], the authors constructed a variety of nonpositively and negatively curved spaces as “2–fillings” of M by replacing the ...
An Alternative Presentation of the Symmetric-Simplicial Category
Alternative Presentation Symmetric-Simplicial Category
font style='font-size:12px;'>
2011/1/19
t0, 1, . . . nuto include all functions between the same sets. Marco Grandis [Gra01a] has given a presentation of Fin using the standard generators di and si of Ord as well as the adjacent transpositi...
Spans and simplicial families
Spans simplicial families
font style='font-size:12px;'>
2011/3/1
In [3] we have introduced the notion of covering projection on a general topos E. These are locally constant objects with an additional property.
Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Nonabelian Dold-Kan Decompositions Simplicial Symmetric-Simplicial Groups
font style='font-size:12px;'>
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...
Pseudo simplicial groups and crossed modules
Crossed modules Pseudo simplicial groups Moore complex
font style='font-size:12px;'>
2010/12/20
In this paper, we define the notion of pseudo 2-crossed module and give a relation between the pseudo 2-crossed modules and pseudo simplicial groups with Moore complex of length 2.