Compactness results in Symplectic Field Theory

被引：276

作者：

Bourgeois, F

Eliashberg, Y

Hofer, H

Wysocki, K

Zehnder, E

机构：

[1] Free Univ Brussels, B-1050 Brussels, Belgium

[2] Stanford Univ, Stanford, CA 94305 USA

[3] NYU, Courant Inst, New York, NY 10012 USA

[4] Univ Melbourne, Parkville, Vic 3010, Australia

[5] ETH Zentrum, CH-8092 Zurich, Switzerland

来源：

GEOMETRY & TOPOLOGY | 2003年 / 7卷

关键词：

symplectic field theory; Gromov compactness; contact geometry; holomorphic curves;

D O I：

10.2140/gt.2003.7.799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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].

引用

页码：799 / 888

页数：90

共 28 条

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Bourgeois F., 2002, THESIS STANFORD U

[2]

Deligne P., 1969, PUBL MATH-PARIS, V36, P75

[3]

EKHOLM T, ARXIVMATHSG0210124

[4] LAGRANGIAN INTERSECTIONS IN CONTACT GEOMETRY [J].