《Virtual Fundamental Cycles in Symplectic Topology》是American Mathematical Society出版的圖書，作者是Dusa McDuff，Mohammad Tehrani，Kenji Fukaya，Dominic Joyce
基本介紹
- ISBN：9781470450144
- 作者：Dusa McDuff、Mohammad Tehrani、Kenji Fukaya、Dominic Joyce
- 出版社：American Mathematical Society
- 出版時間：2019年4月11日
- 頁數：300
- 定價：USD 129.00
- 裝幀：精裝
內容簡介
The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle...(展開全部) The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appearance of Gromov's original paper until today this approach has been the most important tool in global symplectic geometry. To produce numerical invariants of these manifolds using this method requires constructing a fundamental cycle associated with moduli spaces. This volume brings together three approaches to constructing the virtual fundamental cycle for the moduli space of pseudo-holomorphic curves. All approaches are based on the idea of local Kuranishi charts for the moduli space. Workers in the field will get a comprehensive understanding of the details of these constructions and the assumptions under which they can be made. These techniques and results will be essential in further applications of this approach to producing invariants of symplectic manifolds. Editors and Authors: John W. Morgan: Simons Center for Geometry and Physics, Stony Brook, NY, Dusa McDuff: Columbia University, New York, NY, Mohammad Tehrani: University of Iowa, Iowa City, IA, Kenji Fukaya: Simons Center for Geometry and Physics, Stony Brook, NY, Dominic Joyce: Mathematical Institute, Oxford, United Kingdom
