A Caltech Library Service

On the Link Floer Homology of L-space Link


Dawra, Nakul (2015) On the Link Floer Homology of L-space Link. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9CZ353T.


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:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8879
Deposited By: Nakul Dawra
Deposited On:26 May 2015 21:22
Last Modified:05 Jul 2022 19:06

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page