特殊玻尔-索默菲尔德几何:变化

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9374e

Nikolai Andreevich Tyurin

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引用次数: 0

摘要

这项工作继续研究紧辛流形的特殊玻尔-索默菲尔德几何。利用自然变形参数，克服了紧单连通代数变型的特殊Bohr-Sommerfeld循环模空间的定义困难。作为副产品，我们提出了一些关于如何在Weinstein结构和Eliashberg猜想的研究中利用我们的结构的想法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Special Bohr-Sommerfeld geometry: variations

This work continues investigations of special Bohr-Sommerfeld geometry for compact symplectic manifolds. By using natural deformation parameters we circumvent the difficulties involved in the definition of moduli spaces of special Bohr-Sommerfeld cycles for compact simply connected algebraic varieties. As a byproduct, we present some ideas of how our constructions can be exploited in the studies of Weinstein structures and Eliashberg conjectures.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.