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Integral finite surgeries on knots in S3

Posted on:2015-06-18Degree:Ph.DType:Dissertation
University:California Institute of TechnologyCandidate:Gu, LilingFull Text:PDF
GTID:1470390020452637Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Knot
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