The Stokes Groupoids
Algebraic Geometry
2013-06-03 v1 Classical Analysis and ODEs
Abstract
We construct and describe a family of groupoids over complex curves which serve as the universal domains of definition for solutions to linear ordinary differential equations with singularities. As a consequence, we obtain a direct, functorial method for resumming formal solutions to such equations.
Cite
@article{arxiv.1305.7288,
title = {The Stokes Groupoids},
author = {Marco Gualtieri and Songhao Li and Brent Pym},
journal= {arXiv preprint arXiv:1305.7288},
year = {2013}
}
Comments
35 pages