| dc.identifier.uri | http://hdl.handle.net/11401/76410 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | A generic smooth immersed closed curve in the 2-sphere has a finite number of circles tangent to it in three points. We present a classification of these tritangent circles and study how each class changes during deformations of the curve. We relate these classes to finite type invariants of the curve and derive a relation among the numbers of tritangent circles in the classes and finite type invariants of the curve. | |
| dcterms.available | 2017-09-20T16:50:11Z | |
| dcterms.contributor | Viro, Oleg Y | en_US |
| dcterms.contributor | Sullivan, Dennis | en_US |
| dcterms.contributor | Phillips, Anthony | en_US |
| dcterms.contributor | Rocek, Martin. | en_US |
| dcterms.creator | Sobolev, Yury Arkady | |
| dcterms.dateAccepted | 2017-09-20T16:50:11Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:11Z | |
| dcterms.description | Department of Mathematics. | en_US |
| dcterms.extent | 39 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/11401/76410 | |
| dcterms.issued | 2015-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:11Z (GMT). No. of bitstreams: 1
Sobolev_grad.sunysb_0771E_12488.pdf: 3717414 bytes, checksum: e1fea05c1a1af473247b29dffe111d8f (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Enumerative Geometry, Geometric Topology, Metric Geometry | |
| dcterms.subject | Mathematics | |
| dcterms.title | Tritangents to Spherical Curves | |
| dcterms.type | Dissertation | |
