Citation
Gu, Liling (2014) Integral Finite Surgeries on Knots in S³. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/E7VQ-SV60. https://resolver.caltech.edu/CaltechTHESIS:06012014-162932302
Abstract
Using the correction terms in Heegaard Floer homology, we prove that if a knot in S3 admits a positive integral T-, O-, or I-type surgery, it must have the same knot Floer homology as one of the knots given in our complete list, and the resulting manifold is orientation-preservingly homeomorphic to the p-surgery on the corresponding knot.
| 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 |
| Thesis Availability: | Public (worldwide access) |
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| Thesis Committee: |
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| Defense Date: | 29 May 2014 |
| Record Number: | CaltechTHESIS:06012014-162932302 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:06012014-162932302 |
| DOI: | 10.7907/E7VQ-SV60 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 8460 |
| Collection: | CaltechTHESIS |
| Deposited By: | Liling Gu |
| Deposited On: | 03 Jun 2014 18:54 |
| Last Modified: | 05 Jul 2022 19:07 |
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