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Duke Mathematical Journal

Volumn 127, Issue 1, 2005, Pages 89-121

Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants

(1) Welschinger, Jean Yves a

a UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17244366838 PISSN: 00127094 EISSN: None Source Type: Journal
DOI: 10.1215/S0012-7094-04-12713-7 Document Type: Article

Times cited : (63)

References (16)

1
- 23044491349
- Clifford modules
- MR 0167985
- M. F. ATIYAH, R. BOTT, and A. SHAPIRO, Clifford modules, Topology 3, supp. 1 (1964), 3-38. MR 0167985
- (1964) Topology , vol.3 , Issue.SUPPL. 1 , pp. 3-38
- Atiyah, M.F.¹ Bott, R.² Shapiro, A.³

2
- 0001842831
- Notes on stable maps and quantum cohomology
- Algebraic Geometry (Santa Cruz, 1995), Amer. Math. Soc., Providence. MR 1492534
- W. FULTON and R. PANDHARIPANDE, "Notes on stable maps and quantum cohomology"in Algebraic Geometry (Santa Cruz, 1995), Proc. Sympos. Pure Math. 62, Part 2, Amer. Math. Soc., Providence, 1997, 45-96. MR 1492534
- (1997) Proc. Sympos. Pure Math. , vol.62 , Issue.PART 2 , pp. 45-96
- Fulton, W.¹ Pandharipande, R.²

3
- 0035632701
- Gromov-Witten invariants of blow-ups
- MR 1832328
- A. GATHMANN, Gromov-Witten invariants of blow-ups, J. Algebraic Geom. 10 (2001), 399-432. MR 1832328
- (2001) J. Algebraic Geom. , vol.10 , pp. 399-432
- Gathmann, A.¹

4
- 0040804374
- Pseudoholomorphic curves in symplectic manifolds
- MR 0809718
- M. GROMOV, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. MR 0809718
- (1985) Invent. Math. , vol.82 , pp. 307-347
- Gromov, M.¹

5
- 0242542433
- Welschinger invariant and enumeration of real rational curves
- MR 2012521
- I. ITENBERG, V. KHARLAMOV, and E. SHUSTIN, Welschinger invariant and enumeration of real rational curves, Int. Math. Res. Not. 2003, no. 49, 2639-2653. MR 2012521
- Int. Math. Res. Not. , vol.2003 , Issue.49 , pp. 2639-2653
- Itenberg, I.¹ Kharlamov, V.² Shustin, E.³

6
- 0040378727
- Pin structures on low-dimensional manifolds
- Geometry of Low-dimensional Manifolds, 2 (Durham, England, 1989), Cambridge Univ. Press, Cambridge. MR 1171915
- R. C. KIRBY and L. R. TAYLOR, "Pin structures on low-dimensional manifolds"in Geometry of Low-dimensional Manifolds, 2 (Durham, England, 1989), London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press, Cambridge, 1990, 177-242. MR 1171915
- (1990) London Math. Soc. Lecture Note Ser. , vol.151 , pp. 177242
- Kirby, R.C.¹ Taylor, L.R.²

7
- 0003266115
- Rational curves on algebraic varieties
- Springer, Berlin. MR 1440180
- J. KOLLÁR, Rational Curves on Algebraic Varieties, Ergeb. Math. Grenzgeb. (3) 32, Springer, Berlin, 1996. MR 1440180
- (1996) Ergeb. Math. Grenzgeb. , vol.32 , Issue.3
- Kollár, J.¹

8
- 34249763252
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- MR 1291244
- M. KONTSEVICH and YU. MANIN, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), 525-562. MR 1291244
- (1994) Comm. Math. Phys. , vol.164 , pp. 525-562
- Kontsevich, M.¹ Manin, Y.U.²

9
- 17244377886
- preprint, math.AG/0305128
- S. KWON, Real aspects of the moduli space of genus zero stable maps, preprint, math.AG/0305128
- Real Aspects of the Moduli Space of Genus Zero Stable Maps
- Kwon, S.¹

10
- 0003353961
- Characteristic Classes
- Princeton Univ. Press, Princeton. MR 0440554
- J. W. MILNOR and J. D. STASHEFF, Characteristic Classes, Ann. of Math. Stud. 76, Princeton Univ. Press, Princeton, 1974. MR 0440554
- (1974) Ann. of Math. Stud. , vol.76
- Milnor, J.W.¹ Stasheff, J.D.²

11
- 0003213932
- Vector bundles on complex projective spaces
- Birkhäuser, Boston. MR 0561910
- C. OKONEK, M. SCHNEIDER, and H. SPINDLER, Vector Bundles on Complex Projective Spaces, Progr. Math. 3, Birkhäuser, Boston, 1980. MR 0561910
- (1980) Progr. Math. , vol.3
- Okonek, C.¹ Schneider, M.² Spindler, H.³

12
- 0029682448
- A mathematical theory of quantum cohomology
- MR 1366548
- Y. RUAN and G. TIAN, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995), 259-367. MR 1366548
- (1995) J. Differential Geom. , vol.42 , pp. 259-367
- Ruan, Y.¹ Tian, G.²

13
- 17244371128
- Enumerative real algebraic geometry
- Algorithmic and Quantitative Real Algebraic Geometry (Piscataway, NJ, 2001), Amer. Math. Soc., Providence. MR 1995019
- F. SOTTILE, "Enumerative real algebraic geometry"in Algorithmic and Quantitative Real Algebraic Geometry (Piscataway, NJ, 2001), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 60, Amer. Math. Soc., Providence, 2003, 139-179. MR 1995019
- (2003) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.60 , pp. 139-179
- Sottile, F.¹

14
- 0037768590
- Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
- MR 1976315
- J.-Y. WELSCHINGER, Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry, C. R. Math. Acad. Sci. Paris 336 (2003), 341-344. MR 1976315
- (2003) C. R. Math. Acad. Sci. Paris , vol.336 , pp. 341-344
- Welschinger, J.-Y.¹

15
- 17244372595
- Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
- preprint, to appear in
- _, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry, preprint, 2003, to appear in Invent. Math.
- (2003) Invent. Math.

16
- 0000910190
- Two-dimensional gravity and intersection theory on moduli space
- Lehigh Univ. Press, Bethlehem, Penn., MR 1144529
- E. WITTEN, "Two-dimensional gravity and intersection theory on moduli space"in Surveys in Differential Geometry (Cambridge, Mass., 1990), Lehigh Univ. Press, Bethlehem, Penn., 1991, 243-310. MR 1144529
- (1991) Surveys in Differential Geometry (Cambridge, Mass., 1990) , pp. 243-310
- Witten, E.¹

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