形变量子化与无理数
Deformation Quantization and Irrational Numbers
摘要:
丢番图逼近是用有理数逼近实数的问题。我们提出了一个版本,其中的分子是近似相关的Laurent多项式的recruitors。我们的定义是由构造辛流形的严格变形量子化问题所激发的。我们表明,这种类型的近似存在于任何实数,也调查会发生什么,如果数量是合理的或二次无理。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。