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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Szabo, Zoltan | en_US |
| dc.contributor.author | Racz, Bela Andras | en_US |
| dc.contributor.other | Mathematics Department | en_US |
| dc.date.accessioned | 2015-02-08T18:08:42Z | - |
| dc.date.available | 2015-02-08T18:08:42Z | - |
| dc.date.issued | 2015 | en_US |
| dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp01ft848s85j | - |
| dc.description.abstract | We apply the technique of Heegaard Floer Homology to (1,1)-knots (1-bridge knots on the torus) to determine all (1,1)-knots of crossing number up to 12. We also prove miscellaneous results regarding (1,1)-knots, including the existence of a family with trivial Alexander polynomial, and symmetry results. In addition, we define and study a new class of multi-pointed Heegaard diagrams for links in S^3 that generalizes the classical notion of grid diagrams. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Princeton, NJ : Princeton University | en_US |
| dc.relation.isformatof | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the <a href=http://catalog.princeton.edu> library's main catalog </a> | en_US |
| dc.subject | (1,1)-knots | en_US |
| dc.subject | grid diagrams | en_US |
| dc.subject | Heegaard Floer homology | en_US |
| dc.subject | knot invariants | en_US |
| dc.subject.classification | Mathematics | en_US |
| dc.title | Geometry of (1,1)-Knots and Knot Floer Homology | en_US |
| dc.type | Academic dissertations (Ph.D.) | en_US |
| pu.projectgrantnumber | 690-2143 | en_US |
| Appears in Collections: | Mathematics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Racz_princeton_0181D_11225.pdf | 1.21 MB | Adobe PDF | View/Download |
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