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 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.

References in corpus (6)

• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Geometry and analytic theory of Frobenius manifolds
• Stokes Matrices and Monodromy of the Quantum Cohomology of Projective Spaces
• Geometric Aspects of the Painlevé Equations $\mathrm{PIII}({\mathrm{D}}_6)$ and $\mathrm{PIII}({\mathrm{D}}_7)$
• Stokes Matrix for the Quantum Cohomology of Cubic Surfaces
• Moduli spaces for linear differential equations and the Painlevé equations