477 citations · 6.9k across the 163 of their papers we have counts for
10 papers · 2 filters
Asymptotic Hurwitz numbers
A. Mironov, A. Morozov, S. Natanzon
The classical Hurwitz numbers of degree n together with the Hurwitz numbers of the seamed surfaces of degree n give rise to the Klein topological field theory. We extend this const…
A Hurwitz theory avatar of open-closed strings
A. Mironov, A. Morozov, S. Natanzon
We review and explain an infinite-dimensional counterpart of the Hurwitz theory realization of algebraic open-closed string model a la Moore and Lizaroiu, where the closed and open…
Equations on knot polynomials and 3d/5d duality
A. Mironov, A. Morozov
We briefly review the current situation with various relations between knot/braid polynomials (Chern-Simons correlation functions), ordinary and extended, considered as functions o…
Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids
A. Anokhina, A. Mironov, A. Morozov +1
Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-str…
Spectral Duality Between Heisenberg Chain and Gaudin Model
A. Mironov, A. Morozov, B. Runov +2
In our recent paper we described relationships between integrable systems inspired by the AGT conjecture. On the gauge theory side an integrable spin chain naturally emerges while…
S-duality as a beta-deformed Fourier transform
D. Galakhov, A. Mironov, A. Morozov
An attempt is made to formulate Gaiotto's S-duality relations in an explicit quantitative form. Formally the problem is that of evaluation of the Racah coefficients for the Virasor…
Spectral Duality in Integrable Systems from AGT Conjecture
A. Mironov, A. Morozov, Y. Zenkevich +1
We describe relationships between integrable systems with N degrees of freedom arising from the AGT conjecture. Namely, we prove the equivalence (spectral duality) between the N-ci…
Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation
H. Itoyama, A. Mironov, A. Morozov +1
We continue the program of systematic study of extended HOMFLY polynomials. Extended polynomials depend on infinitely many time variables, are close relatives of integrable tau-fun…
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
H. Itoyama, A. Mironov, A. Morozov +1
Explicit answer is given for the HOMFLY polynomial of the figure eight knot in arbitrary symmetric representation R=[p]. It generalizes the old answers for p=1 and 2 and the…
Comment on integrability in Dijkgraaf-Vafa beta-ensembles
A. Mironov, A. Morozov, Z. Zakirova
We briefly discuss the recent claims that the ordinary KP/Toda integrability, which is a characteristic property of ordinary eigenvalue matrix models, persists also for the Dijkgra…