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An extension of Biran's Lagrangian barrier theorem


Author: Guang-Cun Lu
Journal: Proc. Amer. Math. Soc. 133 (2005), 1563-1567
MSC (2000): Primary 57R17, 53D35, 53D40; Secondary 32Q15, 32Q28
DOI: https://doi.org/10.1090/S0002-9939-04-07694-4
Published electronically: November 22, 2004
MathSciNet review: 2111958
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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  • 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.
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  • 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: https://doi.org/10.1090/S0002-9939-04-07694-4
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
Published electronically: November 22, 2004
Additional Notes: The author was supported in part by NNSF 19971045 and 10371007 of China.
Communicated by: Jon G. Wolfson
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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