Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Aaron Kaestner"'
This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24–25, 2015, at California State University, Fullerton, C
Autor:
Micah Chrisman, Aaron Kaestner
A fibered concordance of knots, introduced by Harer, is a concordance between fibered knots that is well-behaved with respect to the fibrations. We consider semi-fibered concordance of two component ordered links $L=J \sqcup K$ with $J$ fibered. Thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::338bf3e681bd47278073ad67d01b995f
http://arxiv.org/abs/1512.02667
http://arxiv.org/abs/1512.02667
We define counting and cocycle enhancement invariants of virtual knots using parity biquandles. These invariants are determined by pairs consisting of a biquandle 2-cocycle \phi^0 and a map \phi^1 with certain compatibility conditions leading to one-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd937c8c469be1371a5dd966b3f7d210
http://arxiv.org/abs/1507.05583
http://arxiv.org/abs/1507.05583
Publikováno v:
Journal of Knot Theory and Its Ramifications. 26:1741001
The paper contains an essentially self-contained treatment of Khovanov homology, Khovanov-Lee homology as well as the Rasmussen invariant for virtual knots and virtual knot cobordisms which directly applies to classical knot and classical knot cobord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a2098e1a9d42462f597d15ba7829675
https://doi.org/10.1142/s0218216517410012
https://doi.org/10.1142/s0218216517410012
Autor:
Louis H. Kauffman, Aaron Kaestner
We investigate an application of crossing parity for the bracket expansion of the Jones polynomial for virtual knots. In addition we consider an application of parity for the arrow polynomial as well as for the categorifications of both polynomials.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12ef7f30f51158683591a005b19571a8
http://arxiv.org/abs/1110.4911
http://arxiv.org/abs/1110.4911
Autor:
Kauffman, Louis H.1 (AUTHOR)
Publikováno v:
Bulletin (New Series) of the American Mathematical Society. Oct2023, Vol. 60 Issue 4, p507-537. 31p.
Publikováno v:
International Journal of Mathematics; Sep2022, Vol. 33 Issue 10/11, p1-47, 47p
Autor:
Kauffman, Louis H.
This paper defines a theory of cobordism for virtual knots and studies this theory for standard and rotational virtual knots and links. Non-trivial examples of virtual slice knots are given. Determinations of the four-ball genus of positive virtual k
Externí odkaz:
http://arxiv.org/abs/1409.0324
Autor:
Kauffman, Louis H.
This paper is an introduction to virtual knot theory and an exposition of new ideas and constructions, including the parity bracket polynomial, the arrow polynomial, the parity arrow polynomial and categorifications of the arrow polynomial. The paper
Externí odkaz:
http://arxiv.org/abs/1101.0665
Autor:
Dye, Heather A., Kaestner, Aaron
Publikováno v:
Journal of Knot Theory & Its Ramifications; Jul2021, Vol. 30 Issue 8, p1-17, 17p