3 papers
math.GR2021
Homology of the pronilpotent completion and cotorsion groups
Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov
For a non-cyclic free group , the second homology of its pronilpotent completion is not a cotorsion group.
math.AG2019
Discriminant and Hodge classes on the space of Hitchin's covers
Mikhail Basok
We continue the study of the rational Picard group of the moduli space of Hitchin's spectral covers started in P. Zograf's and D. Korotkin's work [11]. In the first part of the pap…
math-ph2018
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)
Mikhail Basok, Dmitry Chelkak
Building upon recent results of Dubédat (see arXiv:1403.6076) on the convergence of topological correlators in the double-dimer model considered on Temperleyan approximations …