On the Link Floer Homology of L-space Link

Author: Dawra, Nakul

Year: 2015

Degree: Dissertation (Ph.D.)

Advisor: Ni, Yi

Committee Members: Ni, Yi; Marcolli, Matilde; Graber, Thomas B.; Vafaee, Faramarz

Option: Mathematics

DOI: 10.7907/Z9CZ353T

Abstract

We will prove that, for a 2 or 3 component L-space link, HFL- is completely determined by the multi-variable Alexander polynomial of all the sub-links of L, as well as the pairwise linking numbers of all the components of L. We will also give some restrictions on the multi-variable Alexander polynomial of an L-space link. Finally, we use the methods in this paper to prove a conjecture of Yajing Liu classifying all 2-bridge L-space links.

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