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An extension of Biran's Lagrangian barrier theorem
Author(s):
Guang-Cun
Lu
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1563-1567.
MSC (2000):
Primary 57R17, 53D35, 53D40;
Secondary 32Q15, 32Q28
Posted:
November 22, 2004
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Abstract:
We use the Gromov-Witten invariants and a nonsqueezing theorem by the author to affirm a conjecture by P. Biran on the Lagrangian barriers.
References:
-
- 1.
- P. Biran, Lagrangian barriers and symplectic embeddings, Geom. Funct. Anal. 11 (2001), 407-464. MR 1844078 (2002g:53153)
- 2.
- P. Biran and K. Cieliebak, Symplectic topology on subcritical manifolds, Comment. Math. Helvetici 76 (2001), 712-753. MR 1881704 (2003b:53091)
- 3.
- G. C. Lu, Gromov-Witten invariants and pseudo symplectic capacities, math.SG/0103195, v7, May 21, 2004.
- 4.
- D. McDuff, Quantum homology of fibrations over
 , International Journal of Mathematics, 11 (2000), 665-721. MR 1780735 (2001i:53157) - 5.
- N. M. J. Woodhouse, Geometric Quantization, Second edition, Oxford University Press, New York, 1991. MR 1183739 (94a:58082)
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Additional Information:
Guang-Cun
Lu
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China
Email:
gclu@bnu.edu.cn
DOI:
10.1090/S0002-9939-04-07694-4
PII:
S 0002-9939(04)07694-4
Keywords:
Polarized K\"ahler manifolds,
Lagrangian barrier,
Gromov-Witten invariants,
nonsqueezing theorem,
Gromov width
Received by editor(s):
July 28, 2003
Received by editor(s) in revised form:
January 15, 2004
Posted:
November 22, 2004
Additional Notes:
The author was supported in part by NNSF 19971045 and 10371007 of China.
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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