The q-analogue of the wild fundamental group (I)
Quantum Algebra
2007-05-23 v1
Abstract
We describe an explicit construction of galoisian Stokes operators for irregular linear q-difference equations. These operators are parameterized by the points of an elliptic curve minus a finite set of singularities. Taking residues at these singularities, one gets q-analogues of alien derivations which freely generate the Lie algebra of the Stokes subgroup of the Galois group.
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Cite
@article{arxiv.math/0611521,
title = {The q-analogue of the wild fundamental group (I)},
author = {J. -P. Ramis and J. Sauloy},
journal= {arXiv preprint arXiv:math/0611521},
year = {2007}
}
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