INVESTIGADORES
FARINATI Marco Andres
artículos
Título:
Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs
Autor/es:
FARINATI MARCO, GARCIA GALOFRE JULIANA.
Revista:
OSAKA JOURNAL OF MATHEMATICS
Editorial:
OSAKA JOURNAL OF MATHEMATICS
Referencias:
Lugar: Osaka; Año: 2019
ISSN:
0030-6126
Resumen:
Given a set X, we provide the algebraic counterpart of the (mixed) Reidemeister moves for virtual knots and links, with semi-arcs labeled byX: we define (commutative and noncommutative) invariants with values in groups, using ``2-cocycles", and we also introduce a universal groupUncfg(X) and functions $pi_f, pi_g:Ximes Xo Uncfg(X)$ governing all 2-cocycles in X.We exhibit examples of computations -of the group and their invariants- achieved using G.A.P.p, li { white-space: pre-wrap; }
