Zobrazeno 1 - 10
of 48
pro vyhledávání: '"YETTER, D. N."'
Saki and Kiani proved that the subrack lattice of a rack $R$ is necessarily complemented if $R$ is finite but not necessarily complemented if $R$ is infinite. In this paper, we investigate further avenues related to the complementation of subquandles
Externí odkaz:
http://arxiv.org/abs/2304.09747
Autor:
Lee, I. J., Yetter, D. N.
We provide a description of adequate categorical data to give a Turaev-Viro type state-sum construct of invariants of 3-manifolds with a system of defects, generalizing the Dijkgraaf-Witten type invariants of our earlier work. We term the defects in
Externí odkaz:
http://arxiv.org/abs/2003.06538
Publikováno v:
Involve 14 (2021) 53-64
We consider the problem of when one quandle homomorphism will factor through another, restricting our attention to the case where all quandles involved are connected. We provide a complete solution to the problem for surjective quandle homomorphisms
Externí odkaz:
http://arxiv.org/abs/1909.12094
The theory of welded and extended welded knots is a generalization of classical knot theory. Welded (resp. extended welded) knot diagrams include virtual crossings (resp. virtual crossings and wen marks) and are equivalent under an extended set of Re
Externí odkaz:
http://arxiv.org/abs/1809.05874
Autor:
Lee, I. J., Yetter, D. N.
We apply the theory of directed topology developed by Grandis [9, 10] to the study of stratified spaces by describing several ways in which a stratification or a stratification with orientations on the strata can be used to produce a related directed
Externí odkaz:
http://arxiv.org/abs/1807.07910
Autor:
Lee, I. J., Yetter, D. N.
We introduce defects, with internal gauge symmetries, on a knot and Seifert surface to a knot into the combinatorial construction of finite gauge-group Dijkgraaf-Witten theory. The appropriate initial data for the construction are certain three objec
Externí odkaz:
http://arxiv.org/abs/1507.00949
Autor:
Shreshtha, Tej, Yetter, D. N.
We continue the development of the infinitesimal deformation theory of pasting diagrams of k-linear categories begun in Yetter, D.N. "On Deformations of Pasting Diagrams", Theory and Applications of Categories 22 (2009) 24-53. In that paper, the stan
Externí odkaz:
http://arxiv.org/abs/1303.3337
In view of the result of Kontsevich, now often called ``the fundamental theorem of Vassiliev theory'', identifying the graded dual of the associated graded vector space to the space of Vassiliev invariants filtered by degree with the linear span of c
Externí odkaz:
http://arxiv.org/abs/0801.3253
Autor:
Yetter, D. N.
We adapt the work of Power to describe general, not-necessarily composable, not-necessarily commutative 2-categorical pasting diagrams and their composable and commutative parts. We provide a deformation theory for pasting diagrams valued in $k$-line
Externí odkaz:
http://arxiv.org/abs/0709.3778
This paper summarizes substantive new results derived by a student team (the first three authors) under the direction of the fourth author at the 2005 session of the KSU REU ``Brainstorming and Barnstorming''. The main results are a decomposition the
Externí odkaz:
http://arxiv.org/abs/math/0512135