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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 036, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.036 (Mi sigma1017) 		 
The Stokes Phenomenon and Some Applications

Marius van der Put

University of Groningen, Department of Mathematics, P.O. Box 407, 9700 AK Groningen, The Netherlands
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DOI: https://doi.org/10.3842/SIGMA.2015.036
Abstract: Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed. A moduli space for a third Painlevé equation is made explicit. It is shown that the monodromy identity, relating the topological monodromy and Stokes matrices, is useful for some quantum differential equations and for confluent generalized hypergeometric equations.
Keywords: Stokes matrices; moduli space for linear connections; quantum differential equations; Painlevé equations.
Received: January 21, 2015; in final form April 21, 2015; Published online May 1, 2015
Bibliographic databases:
Document Type: Article
MSC: 14D20; 34M40; 34M55; 53D45
Language: English
Citation: Marius van der Put, “The Stokes Phenomenon and Some Applications”, SIGMA, 11 (2015), 036, 13 pp.
Citation in format AMSBIB
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