搜索结果: 1-8 共查到“拓扑学 polynomial”相关记录8条 . 查询时间(0.053 秒)
Jones polynomial and knot transitions in Hermitian and non-Hermitian topological semimetals
Hermitian Topological semimetal Junction Transition
2023/1/4
Topological nodal line semimetals can host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this talk, I will show how to use the Jones polynomial (wh...
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Reidemeister torsion:Twisted Alexander polynomial:branched cover:links:Homology orientation
2011/9/13
Abstract: We consider a sign--determined Reidemeister torsion with multivariables for three manifolds with boundary. This invariant is often called the twisted Alexander polynomial when we consider li...
The Kauffman polynomial and trivalent graphs
braids invariants for graphs and links Kau man polynomial knotted graphs
2011/8/26
Abstract: We construct a state model for the two-variable Kauffman polynomial using planar trivalent graphs. We also use this model to obtain a polynomial invariant for trivalent graphs embedded in th...
Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality
Ising model Mixing time Phase coexistence Glauber dynamics
2011/1/18
We considerably improve upon the recent result of [34] on the mixing time of Glauber dynamics for the 2d Ising model in a box of side L at low temperature and with random boundary conditions whose dis...
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Bi-orderable group twisted Alexander polynomial
2011/1/17
We observe that Clay-Rolfsen’s obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations ...
The cycolotomic polynomial topologically
Cyclotomic polynomial higher-dimensional tree matroid duality
2011/1/19
We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.
The polynomial multidimensional Szemerédi Theorem along shifted primes
Arithmetic progressions higher degree uniformity multiple recurrence
2010/12/1
If ~q1, . . . , ~qm: Z → Zℓ are polynomials with zero constant terms and E ⊂Zℓ has positive upper Banach density, then we show that the set E ∩ (E − ~q1(p − 1)) ∩. . .∩(E...