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Abstract Ward identities in the most general “network matrix model” from [1] can be described in terms of the Ding–Iohara–Miki algebras (DIM). This confirms an expectation that such algebras and… (More)

A bstractWe present a universal knot polynomials for 2- and 3-strand torus knots in adjoint representation, by universalization of appropriate Rosso-Jones formula. According to universality, these… (More)

We suggested in 2009 that the Nekrasov function with one non-vanishing deformation parameter is obtained by the standard Seiberg?Witten (SW) contour-integral construction. The only difference is that… (More)

- Hidetoshi Awata, Hiroaki Kanno, +4 authors Yegor Zenkevich
- 2016

We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a nontrivial, but… (More)

A bstractExplicit answer is given for the HOMFLY polynomial of the figure eight knot 41 in arbitrary symmetric representation R = [p]. It generalizes the old answers for p = 1 and 2 and the recently… (More)

A bstractWe consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex,… (More)

Abstract Quantum R-matrices, the entangling deformations of non-entangling (classical) permutations, provide a distinguished basis in the space of unitary evolutions and, consequently, a natural… (More)

A bstractAGT relations imply that the four-point conformal block admits a decomposition into a sum over pairs of Young diagrams of essentially rational Nekrasov functions — this is immediately seen… (More)

A bstractEntanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such… (More)

- Saswati Dhara, Andrei Mironov, +4 authors Alexey Sleptsov
- 2017

Computing polynomial form of the colored HOMFLY-PT for non-arborescent knots obtained from three or more strand braids is still an open problem. One of the efficient methods suggested for the… (More)