Zobrazeno 1 - 10
of 989
pro vyhledávání: '"Twist knot"'
Autor:
Chen, Qingtao, Zhu, Shengmao
This is the third article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this paper, by using the saddle point method developed by Ohtsuki and Yokota, we obtain an asymptotic
Externí odkaz:
http://arxiv.org/abs/2410.14661
Autor:
Le, Khanh, Palmer, Rebekah
Publikováno v:
Pacific J. Math. 319 (2022) 153-179
In this article, we give explicit examples of infinitely many non-commensurable (non-arithmetic) hyperbolic $3$-manifolds admitting exactly $k$ totally geodesic surfaces for any positive integer $k$, answering a question of Bader, Fisher, Miller and
Externí odkaz:
http://arxiv.org/abs/2009.04637
Autor:
Ramaharo, Franck
We enumerate the state diagrams of the twist knot shadow which consist of the disjoint union of two trivial knots. The result coincides with the maximal number of regions into which the plane is divided by a given number of circles. We then establish
Externí odkaz:
http://arxiv.org/abs/1712.06543
Autor:
Dennis, Mark R, Bode, Benjamin
We describe a procedure that creates an explicit complex-valued polynomial function of three-dimensional space, whose nodal lines are the three-twist knot $5_2$. The construction generalizes a similar approach for lemniscate knots: a braid representa
Externí odkaz:
http://arxiv.org/abs/1612.06801
Autor:
Ham, Ji-young, Lee, Joongul
We calculate the Chern-Simons invariants of the twist knot orbifolds using the Schl\"{a}fli formula for the generalized Chern-Simons function on the family of the twist knot cone-manifold structures. Following the general instruction of Hilden, Lozan
Externí odkaz:
http://arxiv.org/abs/1411.2383
Autor:
Tran, Anh T.
We give explicit formulae for the volumes of hyperbolic cone-manifolds of double twist knots, a class of two-bridge knots which includes twist knots and two-bridge knots with Conway notation $C(2n,3)$. We also study the Riley polynomial of a class of
Externí odkaz:
http://arxiv.org/abs/1512.08165
Akademický článek
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We calculate the volumes of the hyperbolic twist knot cone-manifolds using the Schl\"{a}fli formula. Even though general ideas for calculating the volumes of cone-manifolds are around, since there is no concrete calculation written, we present here t
Externí odkaz:
http://arxiv.org/abs/1403.1941
Autor:
Valencia, Karin, Buck, Dorothy
Site-specific recombination on supercoiled circular DNA molecules can yield a variety of knots and catenanes. Twist knots are some of the most common conformations of these products and they can act as substrates for further rounds of site-specific r
Externí odkaz:
http://arxiv.org/abs/1007.2513
Autor:
Bullock, Doug, Faro, Walter Lo
Publikováno v:
Algebr. Geom. Topol. 5 (2005) 107-118
We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot. The cabling of t
Externí odkaz:
http://arxiv.org/abs/math/0402102