Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Oliver T. Dasbach"'
Autor:
Cody Armond, Oliver T. Dasbach
Publikováno v:
Proceedings of the American Mathematical Society. 145:1357-1367
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6ebb6f038d9d11070fae5acaf0663bc
https://doi.org/10.1090/proc/13211
https://doi.org/10.1090/proc/13211
Autor:
Oliver T. Dasbach, Heather M. Russell
Consider the collection of edge bicolorings of a graph that are 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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::469da8988647e9d825c946ff1e1d59e8
Autor:
Adam M. Lowrance, Oliver T. Dasbach
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::509207d87332c82e84ef18e10b107ed3
Publikováno v:
Mathematical Research Letters. 22:1047-1060
We give a rened upper bound for the hyperbolic volume of an alternating link in terms of the rst three and the last three coecients of its colored Jones polynomial.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc7acd60d6363ad379480d4f7cdafb69
https://doi.org/10.4310/mrl.2015.v22.n4.a5
https://doi.org/10.4310/mrl.2015.v22.n4.a5
Autor:
Oliver T. Dasbach, Adam M. Lowrance
Publikováno v:
Quantum Topology. 5:425-486
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0d28fbf6d7d6cdc0f0730528dfa215d
https://doi.org/10.4171/qt/55
https://doi.org/10.4171/qt/55
Autor:
Oliver T. Dasbach, Adam M. Lowrance
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d1d487a85bafb6bae61a70fe347ed51
http://arxiv.org/abs/1604.03501
http://arxiv.org/abs/1604.03501
The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalize this to the simplicial volume of link complements by analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17a25ac3861616043317b73642e64031
http://arxiv.org/abs/1512.08316
http://arxiv.org/abs/1512.08316
Publikováno v:
Journal of Knot Theory and Its Ramifications. 19:765-782
A classical result states that the determinant of an alternating link is equal to the number of spanning trees in a checkerboard graph of an alternating connected projection of the link. We generalize this result to show that the determinant is the a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a121a56902e242cc715f6e5b176baa4
https://doi.org/10.1142/s021821651000811x
https://doi.org/10.1142/s021821651000811x
Publikováno v:
Journal of Combinatorial Theory, Series B. 98(2):384-399
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the link. The Bollobas-Riordan-Tutte polynomial generalizes the Tutte polyno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b570e7e95fec27b3838562cb8569bf8
Autor:
Oliver T. Dasbach, Tao Li
Publikováno v:
Topology and its Applications. 142:113-129
We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Ot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e478f842dbdbd078dfdc7871a27c552
https://doi.org/10.1016/j.topol.2003.11.010
https://doi.org/10.1016/j.topol.2003.11.010