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The Stokes groupoids

  • Marco Gualtieri EMAIL logo , Songhao Li and Brent Pym


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.

Funding statement: Marco Gualtieri was supported by an NSERC Discovery Grant and an Ontario ERA, Songhao Li was supported by an Ontario Graduate Scholarship, and Brent Pym was supported by an NSERC Canada Graduate Scholarship (Doctoral).


We thank Philip Boalch, Nigel Hitchin, Jacques Hurtubise, Alan Weinstein, Michael Wong and Peter Zograf for helpful discussions.


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Received: 2014-1-7
Revised: 2015-3-16
Published Online: 2015-9-29
Published in Print: 2018-6-1

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