Výsledky vyhledávání - "Stoltzfus, Neal W."

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A reduced set of moves on one-vertex ribbon graphs coming from links

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

Externí odkaz: http://arxiv.org/abs/1112.5172

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Alternating sum formulae for the determinant and other link invariants

Autor: Dasbach, Oliver T., Futer, David, Kalfagianni, Efstratia, Lin, Xiao-Song, Stoltzfus, Neal W.

Publikováno v: Journal of Knot Theory and Its Ramifications, Vol. 19, No. 6 (2010) 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: http://arxiv.org/abs/math/0611025

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The Jones polynomial and graphs on surfaces

Autor: Dasbach, Oliver T., Futer, David, Kalfagianni, Efstratia, Lin, Xiao-Song, Stoltzfus, Neal W.

Publikováno v: J. Comb. Theory, Series B, Vol 98/2, 2008, pp 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: http://arxiv.org/abs/math/0605571

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Elektronická kniha

Unraveling the integral knot concordance group / Neal W. Stoltzfus. [electronic resource]

Autor: Stoltzfus, Neal W., 1946-, author

Externí odkaz: Kolekce e-knih KNAV Registrovani uzivatele: plny text online 5 minut, dalsi pristup na vyzadani. Registered users: full text online 5 minutes, further access on request.

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Explicit diagonalization of the Markov form on the Temperley-Lieb algebra

Autor: Genauer, Josh, Stoltzfus, Neal W.

We define a triangular change of basis in which the form is diagonal and explicitly compute the diagonal entries of this matrix as products of quotients of Chebyshev polynomials, corroborating the determinant computation of Ko and Smolinsky. The proo

Externí odkaz: http://arxiv.org/abs/math/0511003

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