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DC Field | Value | Language |
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dc.contributor.advisor | Szabo, Zoltan | |
dc.contributor.author | Ballinger, William | |
dc.contributor.other | Mathematics Department | |
dc.date.accessioned | 2023-07-06T20:26:23Z | - |
dc.date.available | 2023-07-06T20:26:23Z | - |
dc.date.created | 2023-01-01 | |
dc.date.issued | 2023 | |
dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp010c483n654 | - |
dc.description.abstract | In this thesis, I prove that for the $E(-1)$ spectral sequence constructed by Rasmussen, beginning at the Khovanov-Rozansky $\mathfrak{sl}(n)$ homology of a knot and converging to the homology of the unknot, all higher pages are knot invariants. This is then used to construct a number of numerical knot invariants, each of which is a concordance homomorphism, and these new invariants are applied to obstruct nonorientable surfaces or surfaces in connected sums of $\mathbb{C} P^2$ from bounding a knot, as well as to bounds on the smooth slice genus. | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.publisher | Princeton, NJ : Princeton University | |
dc.subject.classification | Mathematics | |
dc.title | Knot concordance and matrix factorizations | |
dc.type | Academic dissertations (Ph.D.) | |
pu.date.classyear | 2023 | |
pu.department | Mathematics | |
Appears in Collections: | Mathematics |
Files in This Item:
File | Description | Size | Format | |
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Ballinger_princeton_0181D_14655.pdf | 417.76 kB | Adobe PDF | View/Download |
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