Zobrazeno 1 - 10
of 815
pro vyhledávání: '"Homfly Polynomials"'
We generalize the recently discovered planar decomposition (Kauffman bracket) for the HOMFLY polynomials of bipartite knot/link diagrams to (anti)symmetrically colored HOMFLY polynomials. Cabling destroys planarity, but it is restored after projectio
Externí odkaz:
http://arxiv.org/abs/2410.18525
Akademický článek
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Publikováno v:
Nuclear Physics B 974 (2022) 115644
We have recently proposed arXiv:2105.11565 a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with $SU(N)$ gauge group. In this paper, we apply the developed method to obta
Externí odkaz:
http://arxiv.org/abs/2111.11751
Autor:
Qin, William
HOMFLY polynomials are one of the major knot invariants being actively studied. They are difficult to compute in the general case but can be far more easily expressed in certain specific cases. In this paper, we examine two particular knots, as well
Externí odkaz:
http://arxiv.org/abs/2101.00695
Autor:
Blackwell, Douglas, Testa, Damiano
We study factorizations of HOMFLY polynomials of certain knots and oriented links. We begin with a computer analysis of knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polyn
Externí odkaz:
http://arxiv.org/abs/2006.14311
We present a novel symmetry of the colored HOMFLY polynomial. It relates pairs of polynomials colored by different representations at specific values of $N$ and generalizes the previously known "tug-the-hook" symmetry of the colored Alexander polynom
Externí odkaz:
http://arxiv.org/abs/2005.01188
Publikováno v:
Journal of Mathematical Chemistry. Mar2022, Vol. 60 Issue 3, p542-554. 13p.
Autor:
Kim, Joonoh, Kim, Kyoung-Tark
We give criteria for oriented links to be periodic of prime order using the quantum $\mathrm{SL}(N)$-invariant. The criteria are based upon an observation on the linking number between a periodic knot and its axis of the rotation.
Externí odkaz:
http://arxiv.org/abs/1805.09517
Autor:
Wedrich, Paul
Publikováno v:
In Journal of Pure and Applied Algebra April 2019 223(4):1434-1439