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Integral Finite Surgeries on Knots in S³

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.))
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)
Research Advisor(s):
  • Ni, Yi
Thesis Committee:
  • Ni, Yi (chair)
  • Graber, Thomas B.
  • Liu, Yi
  • Marcolli, Matilde
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:04 Oct 2019 00:05

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