Scientific article
Open access

Chern–Simons Invariants of Torus Links

ContributorsStevan, Sébastien
Published inAnnales Henri Poincaré, vol. 11, no. 7, p. 1201-1224
  • Open Access - Licence nationale Springer
Publication date2010

We compute the vacuum expectation values of torus knot operators in Chern–Simons theory, and we obtain explicit formulae for all classical gauge groups and for arbitrary representations. We reproduce a known formula for the HOMFLY invariants of torus knots and links, and we obtain an analogous formula for Kauffman invariants. We also derive a formula for cable knots. We use our results to test a recently proposed conjecture that relates HOMFLY and Kauffman invariants.

Citation (ISO format)
STEVAN, Sébastien. Chern–Simons Invariants of Torus Links. In: Annales Henri Poincaré, 2010, vol. 11, n° 7, p. 1201–1224. doi: 10.1007/s00023-010-0058-z
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Article (Published version)
ISSN of the journal1424-0637

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