Integral Finite Surgeries on Knots in S³

Author: Gu, Liling

Year: 2014

Degree: Dissertation (Ph.D.)

Advisor: Ni, Yi

Committee Members: Ni, Yi; Graber, Thomas B.; Liu, Yi; Marcolli, Matilde

Option: Mathematics

DOI: 10.7907/E7VQ-SV60

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.

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