Local analytic classification of $q$-difference equations with $|q|=1$

Details Local analytic classification of $q$-difference equations with $|q|=1$ Local analytic classification of $q$-difference equations with $|q|=1$

2008-02-28

arxiv.org/abs/0802.4223v2

J. Noncommut. Geom. 3(2009), 1, 125--149

Mathematics

Quantum Algebra

20 pages. Final version. Improved exposition

Scientific paper

In this paper, we establish, under convenient diophantine assumptions, a
complete analytic classification of $q$-difference modules over the field of
germs of meromorphic functions at zero, proving some analytic analogs of the
results by Soibelman and Vologodsky, cf. math.AG/0205117, and by Baranovsky and
Ginzburg, cf. alg-geom/9607008.

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