| dc.contributor.author | Curtis, Cynthia | |
| dc.contributor.author | Longo, Vincent | |
| dc.date.accessioned | 2018-05-19T18:20:52Z | |
| dc.date.available | 2018-05-19T18:20:52Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Curtis, C. L., & Longo, V. (n.d). State invariants of 2-bridge knots. Journal Of Knot Theory And Its Ramifications, 27(2). | en_US |
| dc.identifier.uri | https://dx.doi.org/10.1142/S0218216518500165 | |
| dc.description | File not available for download due to copyright restrictions | en_US |
| dc.description.abstract | In this paper, we consider generalizations of the Alexander polynomial and signature of 2-bridge knots by considering the Gordon–Litherland bilinear forms associated with essential state surfaces of the 2-bridge knots. We show that the resulting invariants are well-defined and explore properties of these invariants. Finally, we realize the boundary slopes of essential surfaces as differences of signatures of the knot. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | World Scientific Publishing | en_US |
| dc.subject | 2-bridge knot | en_US |
| dc.subject | state surface | en_US |
| dc.subject | Alexander polynomial | en_US |
| dc.subject | state polynomial | en_US |
| dc.subject | signature | en_US |
| dc.subject | state signature | en_US |
| dc.title | State invariants of 2-bridge knots | en_US |
| dc.type | Article | en_US |
| dc.type | Text | en_US |
| prism.publicationName | Journal of Knot Theory and Its Ramifications | |
| prism.volume | 27 | |
| prism.issueIdentifier | 2 | |
| prism.publicationDate | 2018 | |
| dc.identifier.handle | https://dr.tcnj.edu/handle/2900/2490 | |
