Project Euclid

References

• Raoul Bott, Loring W Tu, Differential forms in algebraic topology, volume 82 of Graduate Texts in Mathematics, Springer–Verlag, New York (1982)
  Mathematical Reviews (MathSciNet): MR0658304
  Zentralblatt MATH: 0496.55001
  
• Steven Diaz, Joe Harris, Geometry of the Severi variety, Trans. Amer. Math. Soc. 309 (1988) 1–34
  Mathematical Reviews (MathSciNet): MR0957060
  Zentralblatt MATH: 0677.14003
  Digital Object Identifier: doi:10.1090/S0002-9947-1988-0957060-8
  
• W Fulton, R Pandharipande, Notes on stable maps and quantum cohomology, from: “Algebraic geometry–-Santa Cruz 1995”, Proc. Sympos. Pure Math. 62, Amer. Math. Soc., Providence, RI (1997) 45–96
  Mathematical Reviews (MathSciNet): MR1492534
  Zentralblatt MATH: 0898.14018
  
• Phillip Griffiths, Joseph Harris, Principles of algebraic geometry, Wiley Classics Library, John Wiley & Sons Inc., New York (1994)
  Mathematical Reviews (MathSciNet): MR1288523
  Zentralblatt MATH: 0408.14001
  
• M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307–347
  Mathematical Reviews (MathSciNet): MR0809718
  Zentralblatt MATH: 0592.53025
  Digital Object Identifier: doi:10.1007/BF01388806
  
• Sheldon Katz, Zhenbo Qin, Yongbin Ruan, Enumeration of nodal genus–$2$ plane curves with fixed complex structure, J. Algebraic Geom. 7 (1998) 569–587
  Mathematical Reviews (MathSciNet): MR1618136
  
• Maxim Kontsevich, Yu Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994) 525–562
  Mathematical Reviews (MathSciNet): MR1291244
  Zentralblatt MATH: 0853.14020
  Digital Object Identifier: doi:10.1007/BF02101490
  Project Euclid: euclid.cmp/1104270948
  
• Maxim Kontsevich, Enumeration of rational curves via torus actions, from: “The moduli space of curves (Texel Island, 1994)”, Progr. Math. 129, Birkhäuser Boston, Boston, MA (1995) 335–368
  Mathematical Reviews (MathSciNet): MR1363062
  Zentralblatt MATH: 0885.14028
  
• Jun Li, Gang Tian, Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds, from: “Topics in symplectic $4$-manifolds (Irvine, CA, 1996)”, First Int. Press Lect. Ser., I, Internat. Press, Cambridge, MA (1998) 47–83
  Mathematical Reviews (MathSciNet): MR1635695
  
• Dusa McDuff, Dietmar Salamon, $J$-holomorphic curves and quantum cohomology, volume 6 of University Lecture Series, American Mathematical Society, Providence, RI (1994)
  Mathematical Reviews (MathSciNet): MR1286255
  
• Rahul Pandharipande, Intersections of $\mathbf{Q}$-divisors on Kontsevich's moduli space $\overline M\sb {0,n}(\mathbf{P}\sp r,d)$ and enumerative geometry, Trans. Amer. Math. Soc. 351 (1999) 1481–1505
  Mathematical Reviews (MathSciNet): MR1407707
  Digital Object Identifier: doi:10.1090/S0002-9947-99-01909-1
  
• Ziv Ran, On the quantum cohomology of the plane, old and new, and a $K3$ analogue, Collect. Math. 49 (1998) 519–526
  Mathematical Reviews (MathSciNet): MR1677096
  
• Ziv Ran, Enumerative geometry of divisorial families of rational curves, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (2004) 67–85
  Mathematical Reviews (MathSciNet): MR2064968
  Zentralblatt MATH: 1170.14306
  
• Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995) 259–367
  Mathematical Reviews (MathSciNet): MR1366548
  Zentralblatt MATH: 0860.58005
  Digital Object Identifier: doi:10.4310/jdg/1214457234
  Project Euclid: euclid.jdg/1214457234
  
• R Vakil, Enumerative Geometry of Plane Curve of Low Genus, preprint.
  arXiv: math.AG/9803007
  
• H Zeuthen, Almindelige Egenskaber ved Systemer af Plane Kurver, Kongelige Danske Videnskabernes Selskabs Skrifter, 10 (1873) 285–393 (Danish)
• Aleksey Zinger, Enumeration of genus-two curves with a fixed complex structure in $\Bbb P\sp 2$ and $\Bbb P\sp 3$, J. Differential Geom. 65 (2003) 341–467
  Mathematical Reviews (MathSciNet): MR2064428
  Digital Object Identifier: doi:10.4310/jdg/1090511749
  Project Euclid: euclid.jdg/1090511749
  
• Aleksey Zinger, Enumerative vs. Symplectic Invariants and Obstruction Bundles, to appear in J. Symplectic Geom.
  Zentralblatt MATH: 1095.14051
  Digital Object Identifier: doi:10.4310/JSG.2004.v2.n4.a1
  
• Aleksey Zinger, Enumeration of genus-three plane curves with a fixed complex structure, J. Algebraic Geom. 14 (2005) 35–81
  Mathematical Reviews (MathSciNet): MR2092126
  Zentralblatt MATH: 1070.14054
  Digital Object Identifier: doi:10.1090/S1056-3911-04-00375-3
  
• Aleksey Zinger, Enumeration of one-nodal rational curves in projective spaces, Topology 43 (2004) 793–829
  Mathematical Reviews (MathSciNet): MR2061208
  Zentralblatt MATH: 1060.53081
  Digital Object Identifier: doi:10.1016/j.top.2003.10.003