Results 21 to 30 of about 327 (99)
Quantization of simply-laced isomonodromy systems by the quantum spectral curve method [PDF]
, 2022 We quantize the simply-laced isomonodromy systems using the theory of Manin matrices and Talalaev’s quantum spectral curve ...
Daisuke Yamakawa
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The space of monodromy data for the Jimbo-Sakai family of $q$-difference equations [PDF]
, 2020 International audienceWe formulate a geometric Riemann-Hilbert correspondence that applies to the derivation by Jimbo and Sakai of equation $q$-PVI from ``isomonodromy'' conditions.
Ramis, Jean-Pierre +5 more
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Integrable systems and isomonodromy deformations [PDF]
Physica D: Nonlinear Phenomena, 1993 We analyze in detail three classes of isomondromy deformation problems associated with integrable systems. The first two are related to the scaling invariance of the $n\times n$ AKNS hierarchies and the Gel'fand-Dikii hierarchies. The third arises in string theory as the representation of the Heisenberg group by $[(L^{k/n})_+,L]=I$ where $L$ is an $n ...
Beals, Richard, Sattinger, David H.
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Projective isomonodromy and Galois groups [PDF]
Proceedings of the American Mathematical Society, 2012 In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy-evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation. We give an algebraic condition for a parameterized linear differential equation to be projectively isomonodromic, in terms of the derived ...
Mitschi, Claude, Singer, Michael F.
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The associated map of the nonabelian Gauss-Manin connection
Open Mathematics, 2012 In ordinary Hodge theory for a compact kahler manifold, one can look at the Gauss-Manin connection as the complex structure of the manifold varies. The connection satisfies the Griffiths transversality property, and induces a map on the associated graded
Chen Ting
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Kerr scattering coefficients via isomonodromy [PDF]
Journal of High Energy Physics, 2015 version accepted at JHEP, JHEP style, 23 pages. Major revision with overall rewriting and including discussion about the angular equation and asymptotics of ...
Cunha, Bruno, Novaes, Fábio
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Classification of isomonodromy problems on elliptic curves [PDF]
Russian Mathematical Surveys, 2014 We consider the isomonodromy problems for flat $G$-bundles over punctured elliptic curves $Σ_τ$ with regular singularities of connections at marked points. The bundles are classified by their characteristic classes. These classes are elements of the second cohomology group $H^2(Σ_τ,{\mathcal Z}(G))$, where ${\mathcal Z}(G)$ is the center of $G$.
Levin, A., Olshanetsky, M., Zotov, A.
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G-bundles, isomonodromy and quantum Weyl groups [PDF]
, 2002 International audienceFirst an `irregular Riemann-Hilbert correspondence' is established for meromorphic connections on principal G-bundles over a disc, where G is any connected complex reductive group.Secondly, in the case of poles of order two ...
Philip P. Boalch, Boalch, Philip,
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