期刊
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
卷 48, 期 3, 页码 409-455出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0273-0979-2011-01338-6
关键词
-
类别
资金
- NSF [DMS-0703601, DMS-0965738]
- Oberwolfach Foundation
- ANR
This paper explains the recent developments on the symplectic theory of Hamiltonian completely integrable systems on symplectic 4-manifolds, compact or not. One fundamental ingredient of these developments has been the understanding of singular affine structures. These developments make use of results obtained by many authors in the second half of the twentieth century, notably Arnold, Duistermaat, and Eliasson; we also give a concise survey of this work. As a motivation, we present a collection of remarkable results proved in the early and mid-1980s in the theory of Hamiltonian Lie group actions by Atiyah, Guillemin and Sternberg, and Delzant among others, and which inspired many people, including the authors, to work on more general Hamiltonian systems. The paper concludes with a discussion of a spectral conjecture for quantum integrable systems.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据