Towards effective topological field theory for knots

DOI10.1016/j.nuclphysb.2015.08.005zbMath1331.81264arXiv1506.00339OpenAlexW1503593382MaRDI QIDQ5964160

Albert D. Morozov, Andrei Mironov

Publication date: 26 February 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00339

Mathematics Subject Classification ID

Related Items (22)

Are there \(p\)-adic knot invariants? ⋮ HOMFLY polynomials in representation \([3, 1\) for 3-strand braids] ⋮ Factorization of differential expansion for antiparallel double-braid knots ⋮ \(\mathrm{SU}(2)/\mathrm{SL}(2)\) knot invariants and Kontsevich-Soibelman monodromies ⋮ On universal knot polynomials ⋮ Colored HOMFLY and generalized Mandelbrot set ⋮ Differential expansion and rectangular HOMFLY for the figure eight knot ⋮ Quantum Racah matrices up to level 3 and multicolored link invariants ⋮ Gaussian distribution of LMOV numbers ⋮ Checks of integrality properties in topological strings ⋮ Rectangular superpolynomials for the figure-eight knot \(4_1\) ⋮ Tabulating knot polynomials for arborescent knots ⋮ Matrix model and dimensions at hypercube vertices ⋮ Distinguishing mutant knots ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ Universal Racah matrices and adjoint knot polynomials: arborescent knots ⋮ Algebra of quantum \(\mathcal{C} \)-polynomials ⋮ Quantum Racah matrices and 3-strand braids in representation \([3,3\)] ⋮ Tangle blocks in the theory of link invariants ⋮ Racah matrices and hidden integrability in evolution of knots ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure ⋮ Multi-colored links from 3-strand braids carrying arbitrary symmetric representations

Cites Work

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• Invariants of links of Conway type
• LINK POLYNOMIALS AND A GRAPHICAL CALCULUS
• EIGENVALUE HYPOTHESIS FOR RACAH MATRICES AND HOMFLY POLYNOMIALS FOR 3-STRAND KNOTS IN ANY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS

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