A Formula for the Colored Jones Polynomial of 2-Bridge Knots | Zendy

Toshie Takata | Zendy

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A Formula for the Colored Jones Polynomial of 2-Bridge Knots

Author(s) -

Toshie Takata

Publication year - 2008

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 19

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2008.48.2.255

Subject(s) - colored , mathematics , jones polynomial , alexander polynomial , homfly polynomial , knot (papermaking) , twist , knot polynomial , polynomial , combinatorics , bracket polynomial , knot theory , knot invariant , pure mathematics , matrix polynomial , alternating polynomial , mathematical analysis , geometry , square free polynomial , engineering , materials science , chemical engineering , composite material

We derive a formula for the colored Jones polynomial of 2-bridge knots. For a twist knot, a more explicit formula is given and it leads to a relation between the degree of the colored Jones polynomial and the crossing number.

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