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On the Link Floer Homology of L-space Link

Citation

Dawra, Nakul (2015) On the Link Floer Homology of L-space Link. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9CZ353T. http://resolver.caltech.edu/CaltechTHESIS:05222015-133207861

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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Heegaard Floer Homology, Low-dimensional Topology
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Awards:Apostol Award For Excellence In Teaching In Mathematics, 2013
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ni, Yi
Thesis Committee:
  • Ni, Yi (chair)
  • Marcolli, Matilde
  • Graber, Thomas B.
  • Vafaee, Faramarz
Defense Date:19 May 2015
Record Number:CaltechTHESIS:05222015-133207861
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:05222015-133207861
DOI:10.7907/Z9CZ353T
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8879
Collection:CaltechTHESIS
Deposited By: Nakul Dawra
Deposited On:26 May 2015 21:22
Last Modified:02 Oct 2017 19:13

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