Parity, Skein Polynomials and Categorification

Autor:	Louis H. Kauffman, Aaron Kaestner
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	Khovanov homology Polynomial Pure mathematics Algebra and Number Theory Skein Categorification Jones polynomial Geometric Topology (math.GT) Mathematics::Geometric Topology Virtual knot Mathematics - Geometric Topology FOS: Mathematics Parity (mathematics) Mathematics
Popis:	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. We present a number of examples found through our calculations. We provide tables of calculations for these invariants on virtual knots with at most 4 real crossings. 55 pages, 47 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12ef7f30f51158683591a005b19571a8 http://arxiv.org/abs/1110.4911 Zobrazit plný text záznamu