Poisson Structures on the Conifold and Local Calabi-Yau Threefolds

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2022-12-01 DOI:10.1016/S0034-4877(22)00078-7

Eduardo Ballico, Elizabeth Gasparim, Thomas Köppe, Bruno Suzuki

引用次数: 1

Abstract

We describe bivector fields and Poisson structures on local Calabi-Yau threefolds which are total spaces of vector bundles on a contractible rational curve. In particular, we calculate all possible holomorphic Poisson structures on the conifold.

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Conifold和局部Calabi-Yau三重上的Poisson结构

本文描述了局部Calabi-Yau三折上的双向量场和泊松结构，它们是可收缩有理曲线上向量束的总空间。特别地，我们计算了叶面褶上所有可能的全纯泊松结构。

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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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.