ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
dc.contributor.author | Ng, L | |
dc.date.accessioned | 2018-12-11T15:22:29Z | |
dc.date.available | 2018-12-11T15:22:29Z | |
dc.date.issued | 2012-04 | |
dc.date.updated | 2018-12-11T15:22:28Z | |
dc.description.abstract | We discuss the relation between arc index, maximal ThurstonBennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal ThurstonBennequin number for all knots with at most 11 crossings. For some of these knots, the calculation requires a consideration of cables which also allows us to compute the maximal self-linking number for all knots with at most 11 crossings. © 2012 World Scientific Publishing Company. | |
dc.identifier.issn | 0218-2165 | |
dc.identifier.issn | 1793-6527 | |
dc.identifier.uri | ||
dc.language | English | |
dc.publisher | World Scientific Pub Co Pte Lt | |
dc.relation.ispartof | Journal of Knot Theory and Its Ramifications | |
dc.relation.isversionof | 10.1142/S0218216511009820 | |
dc.subject | Science & Technology | |
dc.subject | Physical Sciences | |
dc.subject | Mathematics | |
dc.subject | Legendrian knot | |
dc.subject | arc index | |
dc.subject | Thurston-Bennequin number | |
dc.subject | self-linking number | |
dc.subject | Khovanov homology | |
dc.subject | KHOVANOV HOMOLOGY | |
dc.subject | TRANSVERSE KNOTS | |
dc.subject | LEGENDRIAN LINKS | |
dc.subject | POLYNOMIALS | |
dc.title | ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER | |
dc.type | Journal article | |
duke.contributor.orcid | Ng, L|0000-0002-2443-5696 | |
pubs.begin-page | 1250031 | |
pubs.end-page | 1250031 | |
pubs.issue | 04 | |
pubs.organisational-group | Trinity College of Arts & Sciences | |
pubs.organisational-group | Duke | |
pubs.organisational-group | Mathematics | |
pubs.publication-status | Published | |
pubs.volume | 21 |