FIRST NON-VANISHING SELF-LINKING OF KNOTS (I) COMBINATORIC AND DIAGRAMMATIC STUDY

Autor:	Chun-Chung Hsieh
Rok vydání:	2011
Předmět:	Diagrammatic reasoning Pure mathematics symbols.namesake Algebra and Number Theory Knot (unit) Skein relation symbols Feynman diagram Quantum field theory Mathematics::Geometric Topology Mathematics Borromean rings Knot theory
Zdroj:	Journal of Knot Theory and Its Ramifications. 20:1637-1648
ISSN:	1793-6527 0218-2165
Popis:	In this paper, following the scheme of [Borromean rings and linkings, J. Geom. Phys.60 (2010) 823–831; Combinatoric and diagrammatic study in knot theory, J. Knot Theory Ramifications16 (2007) 1235–1253; Massey–Milnor linking = Chern–Simons–Witten graphs, J. Knot Theory Ramifications17 (2008) 877–903], we study the first non-vanishing self-linkings of knots, aiming at the study of combinatorial formulae and diagrammatic representation. The upshot of perturbative quantum field theory is to compute the Feynman diagrams explicitly, though it is impossible in general. Along this line in this paper we could not only compute some Feynman diagrams, but also give the explicit and combinatorial formulae.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c48430165d76fe5bd09553131a79f1c1 https://doi.org/10.1142/s0218216511009510 Zobrazit plný text záznamu