Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Dasbach, Oliver T."'
Autor:
Dasbach, Oliver T., Lowrance, Adam M.
Publikováno v:
Fundamenta Mathematicae 250 (2020), 63-99
The Turaev genus of a link can be thought of as a way of measuring how non-alternating a link is. A link is Turaev genus zero if and only if it is alternating, and in this viewpoint, links with large Turaev genus are very non-alternating. In this pap
Externí odkaz:
http://arxiv.org/abs/1812.11387
Consider the collection of edge bicolorings of a graph that is cellularly embedded on an orientable surface. In this work, we count the number of equivalence classes of such colorings under two relations: reversing colors around a face and reversing
Externí odkaz:
http://arxiv.org/abs/1802.03506
Autor:
Dasbach, Oliver T., Lowrance, Adam M.
The Turaev genus defines a natural filtration on knots where Turaev genus zero knots are precisely the alternating knots. We show that the signature of a Turaev genus one knot is determined by the number of components in its all-A Kauffman state, the
Externí odkaz:
http://arxiv.org/abs/1604.03501
Autor:
Dasbach, Oliver T., Armond, Cody
We show that the head and tail functions of the colored Jones polynomial of adequate links are the product of head and tail functions of the colored Jones polynomial of alternating links that can be read-off an adequate diagram of the link. We apply
Externí odkaz:
http://arxiv.org/abs/1310.4537
Autor:
Abernathy, Susan, Armond, Cody, Cohen, Moshe, Dasbach, Oliver T., Manuel, Hannah, Penn, Chris, Russell, Heather M., Stoltzfus, Neal W.
Publikováno v:
Proc. Amer. Math. Soc. 142 (2014), 737-752
Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.
Comment: 14 pages, 15 figures
Comment: 14 pages, 15 figures
Externí odkaz:
http://arxiv.org/abs/1112.5172
Autor:
Dasbach, Oliver T., Lowrance, Adam M.
Publikováno v:
Quantum Topol. 5 (2014), no. 4, 425-486
We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ribbon graph embedded on the Turaev surface of a link is isomorphic to the Khovanov homology of the link (after a grading shift). We also present a span
Externí odkaz:
http://arxiv.org/abs/1107.2344
Autor:
Armond, Cody, Dasbach, Oliver T.
We study the head and tail of the colored Jones polynomial while focusing mainly on alternating links. Various ways to compute the colored Jones polynomial for a given link give rise to combinatorial identities for those power series. We further show
Externí odkaz:
http://arxiv.org/abs/1106.3948
Publikováno v:
Fundamenta Mathematicae 225 (2014), 57-74
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a sta
Externí odkaz:
http://arxiv.org/abs/1010.5228
Autor:
Dasbach, Oliver T., Lowrance, Adam M.
Publikováno v:
Proc. Amer. Math. Soc. 139 (2011) no. 7, 2631-2645
We give bounds on knot signature, the Ozsvath-Szabo tau invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.
Comment: 15 pages, 5 figures
Comment: 15 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/1002.0898
Autor:
Dasbach, Oliver T., Lalin, Matilde N.
In this note, we survey results concerning variations of the L\"uck-Fuglede-Kadison determinant with respect to the base group. Further, we discuss recurrences of coefficients in the determinant for certain distinguished base groups. The note is base
Externí odkaz:
http://arxiv.org/abs/0908.0582