Compactness results in Symplectic Field Theory

Compactness results in Symplectic Field Theory
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DOI:
10.2140/gt.2003.7.799
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发表时间:
2003-01-01
影响因子:
2
通讯作者:
Zehnder, E
Zehnder, E
中科院分区:
数学1区
文献类型:
--
作者:
Bourgeois, F;Eliashberg, Y;Zehnder, E

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这是一个系列的论文致力于辛场论的基础概述b[4]。证明了辛场论中全纯曲线模空间的紧性结果。这些定理推广了[8]中的Gromov紧性定理以及flower同调理论[6,7]和接触几何[9,19]中的紧性定理。
This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in [ 4]. We prove compactness results for moduli spaces of holomorphic curves arising in Symplectic Field Theory. The theorems generalize Gromov's compactness theorem in [ 8] as well as compactness theorems in Floer homology theory, [ 6, 7], and in contact geometry, [ 9, 19].