The q-analogue of the wild fundamental group (I)

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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