Courbes pseudo-holomorphes équisingulières en dimension 4

Jean-François Barraud

Bulletin de la Société Mathématique de France (2000)

  • Volume: 128, Issue: 2, page 179-206
  • ISSN: 0037-9484

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Barraud, Jean-François. "Courbes pseudo-holomorphes équisingulières en dimension 4." Bulletin de la Société Mathématique de France 128.2 (2000): 179-206. <http://eudml.org/doc/87825>.

@article{Barraud2000,
author = {Barraud, Jean-François},
journal = {Bulletin de la Société Mathématique de France},
keywords = {pseudo-holomorphic curve; equisingular curve; modular spaces; line arrangement; moduli space; genus; homology; almost complex manifold; pseudo-holomorphic line},
language = {fre},
number = {2},
pages = {179-206},
publisher = {Société mathématique de France},
title = {Courbes pseudo-holomorphes équisingulières en dimension 4},
url = {http://eudml.org/doc/87825},
volume = {128},
year = {2000},
}

TY - JOUR
AU - Barraud, Jean-François
TI - Courbes pseudo-holomorphes équisingulières en dimension 4
JO - Bulletin de la Société Mathématique de France
PY - 2000
PB - Société mathématique de France
VL - 128
IS - 2
SP - 179
EP - 206
LA - fre
KW - pseudo-holomorphic curve; equisingular curve; modular spaces; line arrangement; moduli space; genus; homology; almost complex manifold; pseudo-holomorphic line
UR - http://eudml.org/doc/87825
ER -

References

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  1. [1] AUROUX (D.). — Symplectic 4-manifolds as Branched Coverings of CP2, preprint (auroux＠math. polytechnique.fr). 
  2. [2] BARRAUD (J.-F.). — Sphères symplectiques à points doubles ordinaires positifs dans CP2, C.R. Acad. Sciences Paris, t. 327, Série I, 1998, p. 661-668. Zbl1007.58007MR99m:58035
  3. [3] GROMOV (M.). — Pseudo holomorphic curves in symplectic manifolds, Inventiones Math., t. 82, 1985, p. 307-347. Zbl0592.53025MR87j:53053
  4. [4] HOFER (H.), LIZAN (V.), SIKORAV (J.-C.). — On genericity of holomorphic curves in 4 dimensional almost complex manifolds, J. Geometric Anal., t. 7, 1997, p. 149-159. Zbl0911.53014MR2000d:32045
  5. [5] IVASHKOVICH (S.), SHEVCHISHIN (V.). — Structure of the moduli space in a neighborhood of a cusp curve and meromorphic hulls, Invent. Math., t. 136, 1999, p. 571-602. Zbl0930.32017MR2001d:32035
  6. [6] LIU (A.). — Some new applications of general wall-crossing formula, Gompf's conjecture and its applications, Math. Research. Lett., t. 3, n° 5, 1996, p. 569-585. Zbl0872.57025MR97k:57038
  7. [7] MCDUFF (D.). — The local behaviour of holomorphic curves in almost complex 4-manifolds, J. Differential Geom., t. 34, 1991, p. 143-164. Zbl0736.53038MR93e:53050
  8. [8] MCDUFF (D.). — Examples of symplectic structures, Inventiones Math., t. 89, 1987, p. 13-36. Zbl0625.53040MR88m:58061
  9. [9] MCDUFF (D.), SALAMON (D.). — J-holomorphic curves and quantum cohomology., Amer. Math. Soc. Univ. Lect. Notes, t. 6, 1994. Zbl0809.53002MR95g:58026
  10. [10] MCDUFF (D.) et D. SALAMON. — A survey of symplectic 4-manifolds with b⁺ = 1, Turk. J. Math., t. 20, n° 1, 1996, p. 47-60. Zbl0870.57023MR97e:57028
  11. [11] SIKORAV (J.-C.). — Local properties of J curves. — Chapitre V de Holomorphic curves in symplectic geometry, M. Audin et J. Lafontaine éd., Progress in Math., Birkhäuser, Basel, 1994. 
  12. [12] SIKORAV (J.-C.). — Singularities of J-holomorphic curves, Math. Zeit., t. 226, 1997, p. 359-373. Zbl0886.30032MR98k:58060

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