Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Stanford, Theodore"'
Autor:
Chamberlin, Barbara, Stanford, Theodore, Cezarotto, Matheus, Martinez, Pamela, Torres Castillo, Ruth, Engledowl, Christopher, Degardin, Germain
Publikováno v:
International Journal of Game-Based Learning (IJGBL); July 2024, Vol. 14 Issue: 1 p1-19, 19p
Autor:
Mostovoy, Jacob, Stanford, Theodore
We define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In particular, there is an invariant of order 3 for Morse knots with one
Externí odkaz:
http://arxiv.org/abs/math/0008096
Publikováno v:
Phys. Rev. Lett. 85, 3524-3527 (2000)
A practical and popular technique to extract the symbolic dynamics from experimentally measured chaotic time series is the threshold-crossing method, by which an arbitrary partition is utilized for determining the symbols. We address to what extent t
Externí odkaz:
http://arxiv.org/abs/nlin/0005040
Autor:
Mangum, Brian, Stanford, Theodore
Publikováno v:
Algebr. Geom. Topol. 1 (2001) 143-152
If L_1 and L_2 are two Brunnian links with all pairwise linking numbers 0, then we show that L_1 and L_2 are equivalent if and only if they have homeomorphic complements. In particular, this holds for all Brunnian links with at least three components
Externí odkaz:
http://arxiv.org/abs/math/9912006
Autor:
Naik, Swatee, Stanford, Theodore
Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It follows as a corollary that a knot has trivial Alexander polynomial if
Externí odkaz:
http://arxiv.org/abs/math/9911005
Autor:
Mostovoy, Jacob, Stanford, Theodore
We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a Markov-type theorem and a description of how Vassiliev invariants beh
Externí odkaz:
http://arxiv.org/abs/math/9907088
Autor:
Stanford, Theodore
We use a variation on the commutator collection process to characterize those pure braids which become trivial when any one strand is deleted, or, more generally, those pure braids which become trivial when all the strands in any one of a list of set
Externí odkaz:
http://arxiv.org/abs/math/9907072
Autor:
Stanford, Theodore B.
Delta finite-type invariants are defined analogously to finite-type invariants, using delta moves instead of crossing changes. We show that they are closely related to the lower central series of the commutator subgroup of the pure braid group.
Externí odkaz:
http://arxiv.org/abs/math/9907071
Autor:
Stanford, Theodore, Trapp, Rolland
We observe that most known results of the form "v is not a finite-type invariant" follow from two basic theorems. Among those invariants which are not of finite type, we discuss examples which are "ft-independent" and examples which are not. We intro
Externí odkaz:
http://arxiv.org/abs/math/9903057
We give an upper bound on the z-degree of the Kauffman polynomial of a link, using bridges of length greater than one which are separated in some tangle decomposition of a link diagram. We construct some examples by wiring together rational tangles.<
Externí odkaz:
http://arxiv.org/abs/math/9903055