An extension of Biran’s Lagrangian barrier theorem
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- by Guang-Cun Lu
- Proc. Amer. Math. Soc. 133 (2005), 1563-1567
- DOI: https://doi.org/10.1090/S0002-9939-04-07694-4
- Published electronically: 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
- P. Biran, Lagrangian barriers and symplectic embeddings, Geom. Funct. Anal. 11 (2001), no. 3, 407–464. MR 1844078, DOI 10.1007/PL00001678
- Paul Biran and Kai Cieliebak, Symplectic topology on subcritical manifolds, Comment. Math. Helv. 76 (2001), no. 4, 712–753. MR 1881704, DOI 10.1007/s00014-001-8326-7
- G. C. Lu, Gromov-Witten invariants and pseudo symplectic capacities, math.SG/0103195, v7, May 21, 2004.
- Dusa McDuff, Quantum homology of fibrations over $S^2$, Internat. J. Math. 11 (2000), no. 5, 665–721. MR 1780735, DOI 10.1142/S0129167X00000337
- N. M. J. Woodhouse, Geometric quantization, 2nd ed., Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1992. Oxford Science Publications. MR 1183739
Bibliographic Information
- Guang-Cun Lu
- Affiliation: Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
- Email: gclu@bnu.edu.cn
- 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
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2111958