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 Some of these results are previously unpublished.

Representations and invariants of links in lens spaces / Alessia Cattabriga, Enrico Manfredi, Michele Mulazzani. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 74:1(2016), pp. 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 Some of these results are previously unpublished.
2016
Representations and invariants of links in lens spaces / Alessia Cattabriga, Enrico Manfredi, Michele Mulazzani. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 74:1(2016), pp. 181-210.
Alessia Cattabriga, Enrico Manfredi, Michele Mulazzani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/624030
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