Zobrazeno 1 - 10
of 1 187
pro vyhledávání: '"57M25, 57M27"'
Autor:
Tarkaev, Vladimir
This paper concerns pseudo-classical knots in the non-orientable manifold $\hat{\Sigma} =\Sigma \times [0,1]$, where $\Sigma$ is a non-orientable surface and a knot $K \subset \hat{\Sigma}$ is called pseudo-classical if $K$ is orientation-preserving
Externí odkaz:
http://arxiv.org/abs/2407.20715
Autor:
Fiorenza, Domenico, Hurson, Omid
In "Homfly polynomial via an invariant of colored plane graphs", Murakami, Ohtsuki, and Yamada provide a state-sum description of the level $n$ Jones polynomial of an oriented link in terms of a suitable braided monoidal category whose morphisms are
Externí odkaz:
http://arxiv.org/abs/2407.09785
Autor:
Rohozhkin, Illia E.
In the present paper, we construct $(2n-4)\times (2n-4)$ matrices corresponding to the motion of points on standard round sphere from the point of view of Delaunay triangulations. We define homomorphism from spherical pure braids on $n$ strands to th
Externí odkaz:
http://arxiv.org/abs/2405.10240
Autor:
Popović, David
This paper classifies the chain homotopy equivalence types of knot Floer complexes $CFK_{\mathbb{F}[U,V]}(K)$ of knot Floer width 2. They have no nontrivial local systems. As an application, this shows that all Montesinos knots admit a basis that can
Externí odkaz:
http://arxiv.org/abs/2405.08993
Autor:
Tarkaev, Vladimir
We prove a prime decomposition theorem for string links in a thickened surface. Namely, we prove that any non-braid string link $\ell \subset \Sigma \times I$, where $\Sigma$ is a compact orientable (not necessarily closed) surface other than $S^2$,
Externí odkaz:
http://arxiv.org/abs/2403.12492
We introduce and investigate oriented dichromatic singular links. We also introduce oriented disingquandles and use them to define counting invariants for oriented dichromatic singular links. We provide some examples to show that these invariants dis
Externí odkaz:
http://arxiv.org/abs/2401.05359
Autor:
Spaggiari, Filippo
In the first part of this paper, we present general results concerning the colorability of torus knots using conjugation quandles over any abstract group. Subsequently, we offer a numerical characterization for the colorability of torus knots using c
Externí odkaz:
http://arxiv.org/abs/2308.10229
Autor:
Uemura, Soichiro
In the generalized topological quantum field theory constructed by Andersen and Kashaev, invariants of 3-manifolds are defined given the combinatorial structure of a tetrahedral decomposition. Furthermore, a variant of the volume conjecture has been
Externí odkaz:
http://arxiv.org/abs/2307.12848
In the present paper we develop the techniques suggested in \cite{ManturovNikonov} and the photography principle \cite{ManturovWan} for constructing an invariant of 3-manifolds based on Ptolemy relation. We show that a direct implementation of the te
Externí odkaz:
http://arxiv.org/abs/2307.03437
Autor:
Popović, David
We classify isomorphism and chain homotopy equivalence classes of finitely generated $\mathbb{Z} \oplus \mathbb{Z}$ graded free chain complexes over $\frac{\mathbb{F}[U,V]}{(UV)}$. As a corollary, we establish that every link Floer complex $CFL(Y, L)
Externí odkaz:
http://arxiv.org/abs/2306.05546