Zobrazeno 1 - 10
of 901 602
pro vyhledávání: '"P Alexander"'
Autor:
Chen, Hongxu
I investigated the capability of finite linear Alexander quandles coloring invariant, a type of relatively easily computable knot invariants, to detect causality in (2+1)- dimensional globally hyperbolic spacetime by determining if they can distingui
Externí odkaz:
http://arxiv.org/abs/2411.04477
Autor:
Shepler, Anne V., Witherspoon, Sarah
Alexander-Whitney and Eilenberg-Zilber maps traditionally convert between the tensor product of standard resolutions and the standard resolution of a tensor product of algebras. We examine Alexander-Whitney and Eilenberg-Zilber maps for twisted tenso
Externí odkaz:
http://arxiv.org/abs/2411.04102
Autor:
Yamaguchi, Kouki
The $n$-loop Kontsevich invariant of knots takes its value in the completion of the space of $n$-loop open Jacobi diagrams, which is an infinite dimensional vector space. Since the 1-loop part is presented by the Alexander polynomial, we are interest
Externí odkaz:
http://arxiv.org/abs/2410.20458
Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalism
We prove that normalized colored Alexander polynomial (the $A \rightarrow 1$ limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scaling property: it is equal to the fundamental Alexander polynomial with
Externí odkaz:
http://arxiv.org/abs/2410.13676
Autor:
Schut, Martine, van der Veen, Roland
We introduce a version of the Alexander polynomial for singular knots and tangles and show how it can be strengthened considerably by introducing a perturbation. For singular long knots, we also prove that our Alexander polynomial agrees with previou
Externí odkaz:
http://arxiv.org/abs/2409.17657
The Alexander polynomial (1928) is the first polynomial invariant of links devised to help distinguish links up to isotopy. In recent work of the authors, Fox's conjecture (1962) -- stating that the absolute values of the coefficients of the Alexande
Externí odkaz:
http://arxiv.org/abs/2401.14927
Autor:
Daly, Charles
In this paper we provide a means of certifying infinitesimal projective rigidity relative to the cusp for hyperbolic once punctured torus bundles in terms of twisted Alexander polynomials of representations associated to the holonomy. We also relate
Externí odkaz:
http://arxiv.org/abs/2411.04431
Autor:
Liao, Wenbo, Wu, Zhongtao
In this paper, we introduce a notion of clock moves for spanning trees in plane graphs. This enables us to develop a spanning tree model of an Alexander polynomial for a plane graph and prove the unimodal property of its associate coefficient sequenc
Externí odkaz:
http://arxiv.org/abs/2410.16126
Autor:
Traldi, Lorenzo
We prove two properties of the modules and quandles discussed in this series. First, the fundamental multivariate Alexander quandle $Q_A(L)$ is isomorphic to the natural image of the fundamental quandle in the metabelian quotient $G(L)/G(L)''$ of the
Externí odkaz:
http://arxiv.org/abs/2408.11784