Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Dmitry Korotkin"'
Autor:
Dmitry Korotkin
Publikováno v:
Nuclear Physics B, Vol 927, Iss , Pp 294-318 (2018)
We describe projective structures on a Riemann surface corresponding to monodromy groups which have trivial SL(2) monodromies around singularities and trivial PSL(2) monodromies along homologically non-trivial loops on a Riemann surface. We propose a
Externí odkaz:
https://doaj.org/article/7af49355c1344684af0a4403f02a9505
Autor:
Dmitry Korotkin, Henning Samtleben
Publikováno v:
Advances in Mathematical Physics, Vol 2009 (2009)
The 2×2 Schlesinger system for the case of four regular singularities is equivalent to the Painlevé VI equation. The Painlevé VI equation can in turn be rewritten in the symmetric form of Okamoto's equation; the dependent variable in Okamoto's fo
Externí odkaz:
https://doaj.org/article/837cfecd788c48a283666aee917e5883
Autor:
Marco Bertola, Dmitry Korotkin
Publikováno v:
Theoretical and Mathematical Physics. 206:258-295
We study symplectic properties of the monodromy map of second-order equations on a Riemann surface whose potential is meromorphic with double poles. We show that the Poisson bracket defined in terms of periods of the meromorphic quadratic differentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e1769605000e416f9b907cccf91200f
https://doi.org/10.1134/s0040577921030028
https://doi.org/10.1134/s0040577921030028
Autor:
Marco Bertola, Dmitry Korotkin
Publikováno v:
Communications in Mathematical Physics. 378:1279-1341
The goal of the paper is to apply the theory of integrable systems to construct explicit sections of line bundles over the combinatorial model of the moduli space of pointed Riemann surfaces based on Strebel differentials. These line bundles are tens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4902d45ee7cccf943caec6c41556c10b
https://doi.org/10.1007/s00220-020-03819-9
https://doi.org/10.1007/s00220-020-03819-9
Autor:
Marco Bertola, Dmitry Korotkin
Publikováno v:
International Mathematics Research Notices. 2021:11246-11269
Using the embedding of the moduli space of generalized $GL(n)$ Hitchin’s spectral covers to the moduli space of meromorphic Abelian differentials we study the variational formulæ of the period matrix, the canonical bidifferential, the prime form a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d18338b57ab3927b60d5c1849970075
https://doi.org/10.1093/imrn/rnz142
https://doi.org/10.1093/imrn/rnz142
Publikováno v:
Mathematische Annalen
Mathematische Annalen, Springer Verlag, 2019, 375 (1-2), pp.213-246. ⟨10.1007/s00208-019-01836-1⟩
Mathematische Annalen, Springer Verlag, 2019, 375 (1-2), pp.213-246. ⟨10.1007/s00208-019-01836-1⟩
We study the rational Picard group of the projectivized moduli space of holomorphic n-differentials on complex genus g stable curves. We define (n - 1) natural classes in this Picard group that we call Prym-Tyurin classes. We express these classes as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9a9a79c33209220343de5863163b03a
https://doi.org/10.1007/s00208-019-01836-1
https://doi.org/10.1007/s00208-019-01836-1
Autor:
Dmitry Korotkin, Caroline Kalla
Publikováno v:
Communications in Mathematical Physics. 331:1191-1235
In this paper we study Baker-Akhiezer spinor kernel on moduli spaces of meromorphic differentials on Riemann surfaces. We introduce the Baker-Akhiezer tau-function which is related to both Bergman tau-function (which was studied before in the context
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fd76da74e0de552c9f2b5d5a15f8356
https://doi.org/10.1007/s00220-014-2081-2
https://doi.org/10.1007/s00220-014-2081-2
Autor:
Dmitry Korotkin, Vasilisa Shramchenko
Publikováno v:
Letters in Mathematical Physics. 96:109-121
In this paper we give an overview of the solutions of Fuchsian and non-Fuchsian Riemann-Hilbert problems associated with Frobenius manifold structures on Hurwitz spaces found in recent works of the authors. We show that by an application of an approp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a2417fd878850ec3191355f70d12ff8
https://doi.org/10.1007/s11005-010-0435-z
https://doi.org/10.1007/s11005-010-0435-z
We introduce a natural symplectic structure on the moduli space of quadratic differentials with simple zeros and describe its Darboux coordinate systems in terms of so-called homological coordinates. We then show that this structure coincides with th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0fa6bc2fc3e0997f518347baa17ade7
