Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Jablan, Slavik"'
Autor:
Jablan, Slavik, Shimizu, Ayaka
The warping sum $e(K)$ of a knot $K$ is the minimal value of the sum of the warping degrees of a minimal diagram of $K$ with both orientations. In this paper, knots $K$ with $e(K) \le 3$ are characterized, and some knots $K$ with $e(K)=4$ are given.<
Externí odkaz:
http://arxiv.org/abs/1712.07332
We call a Delta Diagram any diagram of a knot or link whose regions (including the unbounded one) have 3, 4, or 5 sides. We prove that any knot or link admits a delta diagram. We define and estimate combinatorial link invariants stemming from this de
Externí odkaz:
http://arxiv.org/abs/1512.06417
In this paper we define a monoid of pseudo braids and prove that this monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's theorem for pseudo braids.
Comment: 8 pages, 7 figures
Comment: 8 pages, 7 figures
Externí odkaz:
http://arxiv.org/abs/1509.08725
In this paper we study properties of the Markov trace ${\rm tr}_d$ and the specialized trace ${\rm tr}_{d,D}$ on the Yokonuma-Hecke algebras, such as behaviour under inversion of a word, connected sums and mirror imaging. We then define invariants fo
Externí odkaz:
http://arxiv.org/abs/1505.06667
When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of pseudoknots introduced by Dorais et al, we show that the signed were-se
Externí odkaz:
http://arxiv.org/abs/1412.7722
A link diagram is said to be lune-free if, when viewed as a 4-regular plane graph it does not have multiple edges between any pair of nodes. We prove that any colored link diagram is equivalent to a colored lune-free diagram with the same number of c
Externí odkaz:
http://arxiv.org/abs/1406.2378
Autor:
Jablan, Slavik
In this paper we define Crossing Change Alternating Knots (CCA knots) and their generalization: $k$-CCA knots.
Comment: 5 pages; 2 figures
Comment: 5 pages; 2 figures
Externí odkaz:
http://arxiv.org/abs/1404.4974
Autor:
Jablan, Slavik
We are giving tables of quasi-alternating knots with $8\le n \le 12$ crossings. As the obstructions for a knot to be quasialternating we used homology thickness with regards to Khovanov homology, odd homology, and Heegaard-Floer homology $\widehat{HF
Externí odkaz:
http://arxiv.org/abs/1404.4965