Citation
Dawra, Nakul (2015) On the Link Floer Homology of L-space Link. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9CZ353T. https://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.)) |
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| 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) |
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| Thesis Committee: |
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| Defense Date: | 19 May 2015 |
| Record Number: | CaltechTHESIS:05222015-133207861 |
| Persistent URL: | https://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: | 05 Jul 2022 19:06 |
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