2环面上强紧型泊松流形

Pub Date : 2023-11-03 DOI:10.2140/pjm.2023.325.353

Luka Zwaan

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引用次数: 2

摘要

在arXiv1312.7267中，给出了强紧型泊松流形的第一个非平凡例子。该构造利用K3曲面理论，得到一个叶空间为S^1的泊松流形。我们修改了结构，得到了一类新的例子。具体地说，对于每一个强积分仿射2环面，我们得到了一个以该环面为叶空间的强紧型泊松流形。

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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Poisson manifolds of strong compact type over 2-tori

In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space.

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