Výsledky vyhledávání - "Giambrone, Adam"

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Publikováno v: Involve 12 (2019) 1109-1141

Combinatorial two-player games have recently been applied to knot theory. Examples of this include the Knotting-Unknotting Game and the Region Unknotting Game, both of which are played on knot shadows. These are turn-based games played by two players

Externí odkaz: http://arxiv.org/abs/1807.11026

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Sigma-Adequate Link Diagrams and the Tutte Polynomial

Autor: Giambrone, Adam

In this paper, we characterize the sigma-adequacy of a link diagram in two ways: in terms of a certain edge subset of its Tait graph and in terms of a certain product of Tutte polynomials. Furthermore, we show that the symmetrized Tutte polynomial of

Externí odkaz: http://arxiv.org/abs/1607.04244

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Semi-Adequate Closed Braids and Volume

Autor: Giambrone, Adam

Publikováno v: Topology and its Applications, 198 (2016), 1-21

In this paper, we show that the volumes for a family of A-adequate closed braids can be bounded above and below in terms of the twist number, the number of braid strings, and a quantity that can be read from the combinatorics of a given closed braid

Externí odkaz: http://arxiv.org/abs/1406.7337

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Combinatorics of Link Diagrams and Volume

Autor: Giambrone, Adam

Publikováno v: Journal of Knot Theory and Its Ramifications, Vol. 24, No. 1 (2015), 1550001 (21 pages)

We show that the volumes of certain hyperbolic A-adequate links can be bounded (above and) below in terms of two diagrammatic quantities: the twist number and the number of certain alternating tangles in an A-adequate diagram. We then restrict our at

Externí odkaz: http://arxiv.org/abs/1310.8414

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