Zobrazeno 1 - 10
of 232
pro vyhledávání: '"Secondary 57M25"'
This paper is a self-contained introduction to the theory of renormalized Reshetikhin-Turaev invariants of links defined by Geer, Patureau-Mirand and Turaev. Whereas the standard Reshetikhin-Turaev theory of a $\mathbb{C}$-linear ribbon category assi
Externí odkaz:
http://arxiv.org/abs/2302.05529
Autor:
Costantino, Francesco, Le, Thang T. Q.
We study the behaviour of the Kauffman bracket skein modules of 3-manifolds under gluing along surfaces. For this purpose we extend the notion of Kauffman bracket skein modules to $3$-manifolds with marking consisting of open intervals and circles in
Externí odkaz:
http://arxiv.org/abs/2206.10906
Autor:
Nguyen, Hoang-An, Tran, Anh T.
Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicity of quantum invariants of Garoufalidis-Le and the AJ conjecture of Garoufalidis, Sikora formulated the strong AJ conjecture which relates the A-ideal and
Externí odkaz:
http://arxiv.org/abs/2006.02042
Autor:
Murao, Tomo
A multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory. Any linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair. In this paper, we show
Externí odkaz:
http://arxiv.org/abs/2004.03388
Publikováno v:
Can. Math. Bull. 64 (2021) 624-637
A slope $r$ is called a left orderable slope of a knot $K \subset S^3$ if the 3-manifold obtained by $r$-surgery along $K$ has left orderable fundamental group. Consider two-bridge knots $C(2m, \pm 2n)$ and $C(2m+1, -2n)$ in the Conway notation, wher
Externí odkaz:
http://arxiv.org/abs/2003.00623
Publikováno v:
Contemp. Math., 772 American Mathematical Society, [Providence], RI, [2021]
We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing re
Externí odkaz:
http://arxiv.org/abs/2002.02790
Publikováno v:
Geom. Topol. 26 (2022) 221-282
We construct a series of homomorphisms from the $Y$-filtration on the monoid of homology cylinders to torsion modules via the mod $\mathbb{Z}$ reduction of the LMO functor. The restriction of our homomorphism to the lower central series of the Torell
Externí odkaz:
http://arxiv.org/abs/2001.09825
We give a full proof to Agol's announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.
Comment: 56 pages, 15 figures
Comment: 56 pages, 15 figures
Externí odkaz:
http://arxiv.org/abs/2001.09564
Autor:
Tran, Anh T.
A rational number $r$ is called a left orderable slope of a knot $K \subset S^3$ if the 3-manifold obtained from $S^3$ by $r$-surgery along $K$ has left orderable fundamental group. In this paper we consider the double twist knots $C(k,l)$ in the Con
Externí odkaz:
http://arxiv.org/abs/1911.03798
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 2411-2424
We show that two-bridge knots and alternating fibered knots admit no purely cosmetic surgeries, i.e., no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument, based on a recent r
Externí odkaz:
http://arxiv.org/abs/1909.02340