A Cabling Formula for the 2-Loop Polynomial of Knots | Zendy

Tomotada Ohtsuki | Zendy

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A Cabling Formula for the 2-Loop Polynomial of Knots

Author(s) -

Tomotada Ohtsuki

Publication year - 2004

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475498

Subject(s) - mathematics , homfly polynomial , loop (graph theory) , logarithm , polynomial , bracket polynomial , torus , alexander polynomial , jones polynomial , matrix polynomial , alternating polynomial , invariant (physics) , combinatorics , pure mathematics , knot (papermaking) , square free polynomial , knot theory , mathematical analysis , geometry , mathematical physics , chemical engineering , engineering

The 2-loop polynomial is a polynomial presenting the 2-loop part of the logarithm of the Kontsevich invariant of knots. We show a cabling formula for the 2-loop polynomial of knots. In particular, we calculate the 2-loop polynomial for torus knots.

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