The Stokes Phenomenon and Some Applications

Marius Van Der Put

doi:10.3842/SIGMA.2015.036

The Stokes Phenomenon and Some Applications

Marius Van Der Put^*

^*Corresponding author for this work

Algebra

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

97 Downloads (Pure)

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 Painleve 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.

Original language	English
Article number	036
Number of pages	13
Journal	Symmetry, Integrability and Geometry
Volume	11
DOIs	https://doi.org/10.3842/SIGMA.2015.036
Publication status	Published - 1-May-2015

Keywords

Stokes matrices
moduli space for linear connections
quantum differential equations
Painleve equations
ORDINARY DIFFERENTIAL-EQUATIONS
IRREGULAR SINGULAR POINT
QUANTUM COHOMOLOGY
CONNECTION PROBLEMS
GALOIS-GROUPS
MONODROMY
MATRICES
DEFORMATION
REDUCTION
MODULI

Access to Document

10.3842/SIGMA.2015.036

The Stokes Phenomenon and Some ApplicationsFinal publisher's version, 411 KBLicence: Taverne

Handle.net

Persistent link

Cite this

@article{248bb4607fbc48d2b27c2059d26e6bd9,

title = "The Stokes Phenomenon and Some Applications",

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 Painleve 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, Painleve equations, ORDINARY DIFFERENTIAL-EQUATIONS, IRREGULAR SINGULAR POINT, QUANTUM COHOMOLOGY, CONNECTION PROBLEMS, GALOIS-GROUPS, MONODROMY, MATRICES, DEFORMATION, REDUCTION, MODULI",

author = "\{Van Der Put\}, Marius",

year = "2015",

month = may,

day = "1",

doi = "10.3842/SIGMA.2015.036",

language = "English",

volume = "11",

journal = "Symmetry, Integrability and Geometry",

issn = "1815-0659",

publisher = "NATL ACAD SCI UKRAINE, INST MATH",

}

TY - JOUR

T1 - The Stokes Phenomenon and Some Applications

AU - Van Der Put, Marius

PY - 2015/5/1

Y1 - 2015/5/1

N2 - 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 Painleve 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.

AB - 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 Painleve 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.

KW - Stokes matrices

KW - moduli space for linear connections

KW - quantum differential equations

KW - Painleve equations

KW - ORDINARY DIFFERENTIAL-EQUATIONS

KW - IRREGULAR SINGULAR POINT

KW - QUANTUM COHOMOLOGY

KW - CONNECTION PROBLEMS

KW - GALOIS-GROUPS

KW - MONODROMY

KW - MATRICES

KW - DEFORMATION

KW - REDUCTION

KW - MODULI

U2 - 10.3842/SIGMA.2015.036

DO - 10.3842/SIGMA.2015.036

M3 - Article

SN - 1815-0659

VL - 11

JO - Symmetry, Integrability and Geometry

JF - Symmetry, Integrability and Geometry

M1 - 036

ER -

The Stokes Phenomenon and Some Applications

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this