Equivalence of two diagram representations of links in lens spaces and essential invariants

Autor:	Cattabriga, Alessia, Manfredi, Enrico, Rigolli, Lorenzo
Rok vydání:	2013
Předmět:	Mathematics - Geometric Topology Primary 57R58 57M27 Secondary 57M25
Druh dokumentu:	Working Paper
Popis:	In this paper we study the relation between two diagrammatic representations of links in lens spaces: the disk diagram and the grid diagram and we find how to pass from one to the other. We also investigate whether the HOMFLY-PT invariant and the Link Floer Homology are essential invariants, that is, we try to understand if these invariants are able to distinguish links in $L(p,q)$ covered by the same link in $\mathbf{S}^3$. In order to do so, we generalize the combinatorial definition of Knot Floer Homology in lens spaces to the case of links and we analyze how both the invariants change when we switch the orientation of the link. Comment: 42 pages, 24 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.2230 Zobrazit plný text záznamu View this record from Arxiv