Zobrazeno 1 - 10
of 237
pro vyhledávání: '"PRZYTYCKI, JÓZEF H."'
In this paper we compute the Reduced Fox Coloring Group of the diagrams of Wheel Graphs which can also be represented at the closure of the braids $(\sigma_1 \sigma_2^{-1})^n$. In doing so, we utilize Fibonacci numbers and their properties. Following
Externí odkaz:
http://arxiv.org/abs/2310.19979
Unoriented SL(3) foams are two-dimensional CW complexes with generic singularities embedded in 3- and 4-manifolds. They naturally come up in the Kronheimer-Mrowka SO(3) gauge theory for 3-orbifolds and, in the oriented case, in a categorification of
Externí odkaz:
http://arxiv.org/abs/2307.00674
Our main result has topological, combinatorial and computational flavor. It is motivated by a fundamental conjecture stating that computing Khovanov homology of a closed braid of fixed number of strands has polynomial time complexity. We show that th
Externí odkaz:
http://arxiv.org/abs/2305.18648
Autor:
Bakshi, Rhea Palak, Guo, Huizheng, Montoya-Vega, Gabriel, Mukherjee, Sujoy, Przytycki, Józef H.
For a reduced alternating diagram of a knot with a prime determinant $p,$ the Kauffman-Harary conjecture states that every non-trivial Fox $p$-coloring of the knot assigns different colors to its arcs. In this paper, we prove a generalization of the
Externí odkaz:
http://arxiv.org/abs/2301.02645
In this paper we disprove a twenty-two year old theorem about the structure of the Kauffman bracket skein module of the connected sum of two handlebodies. We achieve this by analysing handle slidings on compressing discs in a handlebody. We find more
Externí odkaz:
http://arxiv.org/abs/2005.07750
Autor:
Przytycki, Jozef H., Wang, Xiao
In this article, we adjust the Yang-Baxter operators constructed by Jones for the HOMFLYPT polynomal. Then we compute the second homology for this family of Yang-Baxter operators. It has the potential to yield 2-cocycle invariant for links.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2004.07413
Autor:
Bakshi, Rhea Palak, Ibarra, Dionne, Montoya-Vega, Gabriel, Przytycki, Józef H., Weeks, Deborah
We show that the only way of changing the framing of a link by ambient isotopy in an oriented $3$-manifold is when the manifold has a properly embedded non-separating $S^2$. This change of framing is given by the Dirac trick, also known as the light
Externí odkaz:
http://arxiv.org/abs/2001.07782
W. Rump showed that there exists a one-to-one correspondence between involutive right non-degenerate solutions of the Yang-Baxter equation and Rump right quasigroups. J. S. Carter, M. Elhamdadi, and M. Saito, meanwhile, introduced a homology theory o
Externí odkaz:
http://arxiv.org/abs/1911.03009
Akademický článek
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Publikováno v:
Topology and its Applications Volume 295, 15 May 2021, 107663
The Gram determinant of type $A$ was introduced by Lickorish in his work on invariants of 3 - manifolds. We generalize the theory of the Gram determinant of type $A$ by evaluating, in the annulus, a bilinear form of non-intersecting connections in th
Externí odkaz:
http://arxiv.org/abs/1905.07834