Towards relative invariants of real symplectic four-manifolds

Geometric and Functional Analysis

Volumn 16, Issue 5, 2006, Pages 1157-1182

  Welschinger, Jean Yves ^a  

^a UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

Author keywords

Enumerative geometry; Rational curve; Real symplectic manifold

Indexed keywords

EID: 33846840825     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-006-0576-5     Document Type: Article

References (10)

1. M. GROMOV, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82:2 (1985), 307-347.
2. E.-N. IONEL, T.H. PARKER, Relative Gromov-Witten invariants, Ann. of Math. (2) 157:1 (2003), 45-96.
3. S. IVASHKOVICH, V. SHEVCHISHIN, Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls, Invent. Math. 136:3 (1999), 571-602.
4. A.-M. LI, Y. RUAN, Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds, Invent. Math. 145:1 (2001), 151-218.
5. D. MCDUFF, D. SALAMON, J-Holomorphic Curves and Symplectic Topology, v. 52 of American Mathematical Society Colloquium Publications. American Mathematical Society, Providence, RI, 2004.
6. F. RONGA, A. TOGNOLI, T. VUST, The number of conies tangent to five given conies: the real case, Rev. Mat. Univ. Complut. Madrid 10:2 (1997), 391-421.
7. V.V. SHEVCHISHIN, Pseudoholomorphic curves and the symplectic isotopy problem, preprint math.SG/0010262 (2000); Habilitation thesis at Ruhr-University, Bochum, Germany.
8. J.-Y. WELSCHINGER, Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry, C.R. Math. Acad. Sci. Paris 336:4 (2003), 341-344.
9. J.-Y. WELSCHINGER, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry, Invent. Math. 162:1 (2005), 195-234.
10. J.-Y. WELSCHINGER, Invariants of real symplectic four-manifolds out of reducible and cuspidal curves, Bull. Soc. Math. France 134:2 (2006), 287-325.