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March 2014 Deformation quantization and irrational numbers
Eli Hawkins, Alan Haynes
J. Symplectic Geom. 12(1): 1-22 (March 2014).

Abstract

Diophantine approximation is the problem of approximating a real number by rational numbers. We propose a version of this in which the numerators are approximately related to the denominators by a Laurent polynomial. Our definition is motivated by the problem of constructing strict deformation quantizations of symplectic manifolds. We show that this type of approximation exists for any real number and also investigate what happens if the number is rational or a quadratic irrational.

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Eli Hawkins. Alan Haynes. "Deformation quantization and irrational numbers." J. Symplectic Geom. 12 (1) 1 - 22, March 2014.

Information

Published: March 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1296.53163
MathSciNet: MR3194074

Rights: Copyright © 2014 International Press of Boston

JOURNAL ARTICLE
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Vol.12 • No. 1 • March 2014
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