Genus $1$ enumerative invariants in $\mathbb{P}^n$ with fixed $j$ invariant
Eleny Ionel
Source: Duke Math. J. Volume 94, Number 2
(1998), 279-324.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230274
Mathematical Reviews number (MathSciNet): MR1638587
Zentralblatt MATH identifier: 0974.14038
Digital Object Identifier: doi:10.1215/S0012-7094-98-09414-5
References
[Al] P. Aluffi, How many smooth plane cubics with given $j$-invariant are tangent to $8$ lines in general position? Enumerative Algebraic Geometry (Copenhagen, 1989), Contemp. Math., vol. 123, Amer. Math. Soc., Providence, 1991, pp. 15–29.
Mathematical Reviews (MathSciNet): MR93e:14063
Zentralblatt MATH: 0759.14040
[AM] P. S. Aspinwall and D. R. Morrison, Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), no. 2, 245–262.
Mathematical Reviews (MathSciNet): MR94h:32033
Zentralblatt MATH: 0776.53043
Digital Object Identifier: doi:10.1007/BF02096768
Project Euclid: euclid.cmp/1104252136
[D] S. K. Donaldson, The orientation of Yang-Mills moduli spaces and $4$-manifold topology, J. Differential Geom. 26 (1987), no. 3, 397–428.
Mathematical Reviews (MathSciNet): MR88j:57020
Zentralblatt MATH: 0683.57005
Project Euclid: euclid.jdg/1214441485
[DK] S. K. Donaldson and P. Kronheimer, The Geometry of Four-Manifolds, Oxford Math. Monogr., Oxford Univ. Press, Oxford, 1990.
Mathematical Reviews (MathSciNet): MR92a:57036
Zentralblatt MATH: 0820.57002
[F] A. Floer, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988), no. 6, 775–813.
Mathematical Reviews (MathSciNet): MR89g:58065
Zentralblatt MATH: 0633.53058
Digital Object Identifier: doi:10.1002/cpa.3160410603
[Ful] W. Fulton, Intersection Theory, Ergeb. Math. Grenzgeb. (3), vol. 2, Springer-Verlag, Berlin, 1984.
Mathematical Reviews (MathSciNet): MR85k:14004
Zentralblatt MATH: 0541.14005
[GH] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, New York, 1978.
Mathematical Reviews (MathSciNet): MR80b:14001
Zentralblatt MATH: 0408.14001
[G] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347.
Mathematical Reviews (MathSciNet): MR87j:53053
Zentralblatt MATH: 0592.53025
Digital Object Identifier: doi:10.1007/BF01388806
[KM] M. Kontsevich and Y. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), no. 3, 525–562.
Mathematical Reviews (MathSciNet): MR95i:14049
Zentralblatt MATH: 0853.14020
Digital Object Identifier: doi:10.1007/BF02101490
Project Euclid: euclid.cmp/1104270948
[MS] D. McDuff and D. Salamon, $J$-holomorphic curves and quantum cohomology, Univ. Lecture Ser., vol. 6, Amer. Math. Soc., Providence, 1994.
Mathematical Reviews (MathSciNet): MR95g:58026
Zentralblatt MATH: 0809.53002
[Pan] R. Pandharipande, A note on elliptic plane curves with fixed $j$ invariant, preprint, alg-geom/9505023, May 1995.
[P] T. H. Parker, Compactified moduli spaces of pseudo-holomorphic curves, preprint.
Mathematical Reviews (MathSciNet): MR1673083
Zentralblatt MATH: 0927.58003
[PW] T. H. Parker and J. Wolfson, Pseudo-holomorphic maps and bubble trees, J. Geom. Anal. 3 (1993), no. 1, 63–98.
Mathematical Reviews (MathSciNet): MR95c:58032
Zentralblatt MATH: 0759.53023
[RT] Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995), no. 2, 259–367.
Mathematical Reviews (MathSciNet): MR96m:58033
Zentralblatt MATH: 0860.58005
Project Euclid: euclid.jdg/1214457234
[T1] C. H. Taubes, Self-dual Yang-Mills connections on non-self-dual $4$-manifolds, J. Differential Geom. 17 (1982), no. 1, 139–170.
Mathematical Reviews (MathSciNet): MR83i:53055
Zentralblatt MATH: 0484.53026
Project Euclid: euclid.jdg/1214436701
[T2] C. H. Taubes, Self-dual connections on $4$-manifolds with indefinite intersection matrix, J. Differential Geom. 19 (1984), no. 2, 517–560.
Mathematical Reviews (MathSciNet): MR86b:53025
Zentralblatt MATH: 0552.53011
Project Euclid: euclid.jdg/1214438690
[Y] R. Ye, Gromov's compactness theorem for pseudo-holomorphic curves, Trans. Amer. Math. Soc. 342 (1994), no. 2, 671–694.
Mathematical Reviews (MathSciNet): MR94f:58030
Zentralblatt MATH: 0810.53024
Digital Object Identifier: doi:10.2307/2154647
JSTOR: links.jstor.org
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