We analyze different representations of knots and links in lens spaces, as disk diagrams, grid diagrams, mixed diagrams; together with the associated moves describing the knot/link equivalence. Using such representations we study some invariants of these type of knots/links, as fundamental group of the complement, Alexander polynomial, twisted Alexander polynomial, HOMFLY-PT polynomial and lifting in the 3-sphere. Some of these results are previously unpublished.
Alessia Cattabriga, E.M. (2016). Representations and invariants of links in lens spaces. RENDICONTI DEL SEMINARIO MATEMATICO, 74(1), 181-210.
Representations and invariants of links in lens spaces
Alessia Cattabriga;Enrico Manfredi;Michele Mulazzani
2016
Abstract
We analyze different representations of knots and links in lens spaces, as disk diagrams, grid diagrams, mixed diagrams; together with the associated moves describing the knot/link equivalence. Using such representations we study some invariants of these type of knots/links, as fundamental group of the complement, Alexander polynomial, twisted Alexander polynomial, HOMFLY-PT polynomial and lifting in the 3-sphere. Some of these results are previously unpublished.File in questo prodotto:
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