Cup-length estimates for leaf-wise intersections

被引：12

作者：

Albers, Peter ^{[1
]}

Momin, Al ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2010年 / 149卷

基金：

美国国家科学基金会;

关键词：

FIXED-POINTS;

D O I：

10.1017/S0305004110000435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that on a restricted contact type hypersurface the number of leaf-wise intersections is bounded from below by a certain cup-length.

引用

页码：539 / 551

页数：13

共 22 条

[1]

ALBERS P, 2001, ISRAEL J MA IN PRESS

[2]

ALBERS P, 2008, ARXIV08124426

[3]

Albers P., 2010, ARXIV10012920

[4]

ALBERS P, 2009, J SYMPLECTI IN PRESS

[5] LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY [J].

Albers, Peter ;

Frauenfelder, Urs .

JOURNAL OF TOPOLOGY AND ANALYSIS, 2010, 2 (01) :77-98

[6] FIXED-POINTS OF SYMPLECTIC MAPS [J].

BANYAGA, A .

INVENTIONES MATHEMATICAE, 1980, 56 (03) :215-229

[7] A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGS [J].

Cieliebak, Kai ;

Frauenfelder, Urs Adrian .

PACIFIC JOURNAL OF MATHEMATICS, 2009, 239 (02) :251-316

[8] Symplectic rigidity, symplectic fixed points, and global perturbations of Hamiltonian systems [J].

Dragnev, Dragomir L. .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2008, 61 (03) :346-370

[9]

EKELAND I, 1989, J MATH PURE APPL, V68, P467

[10] CUPLENGTH ESTIMATES ON LAGRANGIAN INTERSECTIONS [J].

FLOER, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (04) :335-356

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