THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK

DOI10.1142/S0218216503002536zbMath1055.57014arXivmath/0108011OpenAlexW1993892621WikidataQ56225310 ScholiaQ56225310MaRDI QIDQ4474496

Sascha G. Lukac, Hugh R. Morton

Publication date: 12 July 2004

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108011

zbMATH Keywords

Schur functionsHecke algebrassymmetric functionsskein theoryHomfly polynomialHopf linkquantum \(sl(N)\) invariants

Mathematics Subject Classification ID

Related Items (19)

All loop topological string amplitudes from Chern-Simons theory ⋮ Stable pairs and the HOMFLY polynomial ⋮ On the Witten–Reshetikhin–Turaev invariants of torus bundles ⋮ \(\mathrm{SU}(2)/\mathrm{SL}(2)\) knot invariants and Kontsevich-Soibelman monodromies ⋮ On colored HOMFLY polynomials for twist knots ⋮ Universal character and large \(N\) factorization in topological gauge/string theory ⋮ The colored HOMFLYPT function is q-holonomic ⋮ Genus expansion of HOMFLY polynomials ⋮ Cabling procedure for the colored HOMFLY polynomials ⋮ A generating series for Murakami-Ohtsuki-Yamada graph evaluations ⋮ HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations ⋮ Tangle blocks in the theory of link invariants ⋮ Chern-Simons theory and topological strings ⋮ On the Hecke algebras and the colored HOMFLY polynomial ⋮ A formula of two-partition Hodge integrals ⋮ The topological vertex ⋮ Representations of rational Cherednik algebras with minimal support and torus knots. ⋮ A quantum categorification of the Alexander polynomial ⋮ Matrix models for classical groups and Toeplitz ± Hankel minors with applications to Chern–Simons theory and fermionic models

Cites Work

• Unnamed Item
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Jones polynomial invariants for knots and satellites
• On the skeins in the annulus and applications to invariants of 3-manifolds

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