搜索结果: 31-45 共查到“数学 topology”相关记录79条 . 查询时间(0.107 秒)
The Cleavage Operad and String Topology of Higher Dimension
Cleavage Operad String Topology of Higher Dimension
2011/2/24
In [Vor05], Voronov gave life to the Cacti operad: An operad whose homology acts on the shifted homology of the free loop space over a compact, smooth orientable manifold M – HpMS1q– giving it the st...
Homotheties and topology of tangent sphere bundles
tangent sphere bundle isometry characteristic classes
2011/2/22
We prove a Theorem on homotheties between two given tangent sphere bundles SrM of a Riemannian manifold M, g, assuming different variable radius functions r and weighted Sasaki metrics induced just by...
Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Basic Riemannian Geometry Sobolev Estimates used Symplectic Topology
2011/2/22
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace
theory that play a prominent role in analytic approaches to symplectic topology. These
include relations...
Green functions, the fine topology and restoring coverings
Harmonic measure Jensen measures Subharmonic functions
2011/2/22
There are several equivalent ways to define continuous harmonic functions H(K) on a compact set K in Rn. One may let H(K) be the unform closures of all functions in C(K) which are restrictions of harm...
The Topology of Scaling Limits of Positive Genus Random Quadrangulations
Topology of Scaling Limits Positive Genus Random Quadrangulations
2011/2/22
We discuss scaling limits of large bipartite quadrangulations of positive genus. For a given g,
we consider, for every n 1, a random quadrangulation qn uniformly distributed over the set
of all ro...
Topology optimization in Bernoulli free boundary problems
Topology optimization Bernoulli free boundary problems
2011/1/19
In this work we consider topology optimization of systems, which are governed by the external
Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the
governing f...
Plurisubharmonic and holomorphic functions relative to the plurifine topology
Plurisubharmonic and holomorphic functions the plurifine topology
2010/11/23
A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced. Strong will imply weak. The weak concept is studied further. A function f is weakly pl...
Symmetry breaking: A tool to unveil the topology of chaotic scattering with three degrees of freedom
Chaotic Dynamics (nlin.CD)
2010/11/10
We shall use symmetry breaking as a tool to attack the problem of identifying the topology of chaotic scatteruing with more then two degrees of freedom. specifically we discuss the structure of the ho...
We use the "pearl" machinery in our previous work to study certain enumerative invariants associated to monotone Lagrangian submanifolds.
Measuring Shape with Topology
Measuring Shape Topology math
2010/11/15
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a...
Higher Whitehead products in toric topology
Higher Whitehead products in toric topology math
2010/11/15
In this paper we study the relationship between the moment-angle complex Z_k and the Davis-Januskiewicz space DJ(K) for a class of complexes K named missing-face complexes. If K has n vertices we con...
In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) to...
The topology of a simple Lie group is essentially unique
topology simple Lie group essentially unique
2010/12/14
We study locally compact group topologies on simple Lie groups. We show that the Lie group topology on such a group S is very rigid: every ’abstract’ isomorphism between S and a locally compact and -...
The first part of this paper provides a new formulation of chiral differential operators (CDOs) in terms of global geometric quantities. The main result is a recipe to define essentially all sheaves o...
The topology of balls and Gromov hyperbolicity of Riemann surfaces
Topology of balls uniformly separated sets Riemann surfaces Gromov hyperbolicity
2010/12/9
For each k > 0 we find an explicit function fk such that the topology of S inside the ball
BS(p, r) is ‘bounded’ by fk(r) for every complete Riemannian surface (compact or noncompact) S with K W...