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Stacks of stable maps and Gromov-Witten invariants
K. Behrend and Yu. Manin
Source: Duke Math. J. Volume 85, Number 1
(1996), 1-60.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077243035
Mathematical Reviews number (MathSciNet): MR1412436
Zentralblatt MATH identifier: 0872.14019
Digital Object Identifier: doi:10.1215/S0012-7094-96-08501-4
References
[1]1 M. Artin, A. Grothendieck, and J. L. Verdier, Théorie des topos et cohomologie étale des schémas. Tome 1: Théorie des topos, Lecture Notes in Mathematics, vol. 269, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR50:7130
Zentralblatt MATH: 0234.00007
[1]2 M. Artin, A. Grothendieck, and J. L. Verdier, Théorie des topos et cohomologie étale des schémas. Tome 2, Lecture Notes in Mathematics, vol. 270, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR50:7131
Zentralblatt MATH: 0237.00012
[1]3 M. Artin, A. Grothendieck, and J. L. Verdier, Théorie des topos et cohomologie étale des schémas. Tome 3, Lecture Notes in Mathematics, vol. 305, Springer-Verlag, Berlin, 1973.
Mathematical Reviews (MathSciNet): MR50:7132
Zentralblatt MATH: 0245.00002
[2] K. Behrend, Gromov-Witten invariants in algebraic geometry, to appear in Invent. Math.
Mathematical Reviews (MathSciNet): MR1431140
Zentralblatt MATH: 0909.14007
Digital Object Identifier: doi:10.1007/s002220050132
[3] K. Behrend and B. Fantechi, The intrinsic normal cone, to appear in Invent. Math.
Mathematical Reviews (MathSciNet): MR1437495
Zentralblatt MATH: 0909.14006
Digital Object Identifier: doi:10.1007/s002220050136
[4] P. Deligne and J. Milne, Tannakian categories, Hodge Cycles, Motives, and Shimura Varieties, Lecture Notes in Math., vol. 900, Springer-Verlag, New York, 1982, pp. 101–228.
Mathematical Reviews (MathSciNet): MR654325
Zentralblatt MATH: 0465.00010
[5] W. Fulton and R. MacPherson, Categorical framework for the study of singular spaces, Mem. Amer. Math. Soc. 31 (1981), no. 243, vi+165.
Mathematical Reviews (MathSciNet): MR83a:55015
Zentralblatt MATH: 0467.55005
[6] W. Fulton and R. Pandharipande, Notes on stable maps and quantum cohomology, to appear in the proceedings of the Algebraic Geometry Conference in Santa Cruz, Calif., 1995.
Mathematical Reviews (MathSciNet): MR1492534
Zentralblatt MATH: 0898.14018
[7] E. Getzler and M. Kapranov, Cyclic operads and cyclic homology, Geometry, topology, & physics ed. S. T. Yau, Conf. Proc. Lecture Notes Geom. Topology, IV, Internat. Press, Cambridge, MA, 1995, pp. 167–201.
Mathematical Reviews (MathSciNet): MR96m:19011
Zentralblatt MATH: 0883.18013
[8] A. Grothendieck, Techniques de construction et théorèmes d'existence en géométrie algébrique IV: Les schémas de Hilbert, Séminaire Bourbaki, 13e année, 221, 1960–61.
Zentralblatt MATH: 0236.14003
[9] A. Grothendieck, Éléments de géométrie algébrique. II. Étude globale élémentaire de quelques classes de morphismes, Inst. Hautes Études Sci. Publ. Math. (1961), no. 8, 222.
Mathematical Reviews (MathSciNet): MR36:177b
Zentralblatt MATH: 0118.36206
[10]1 A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. I, Inst. Hautes Études Sci. Publ. Math. (1964), no. 20, 259.
Mathematical Reviews (MathSciNet): MR30:3885
Zentralblatt MATH: 0136.15901
[10]2 A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. II, Inst. Hautes Études Sci. Publ. Math. (1965), no. 24, 231.
Mathematical Reviews (MathSciNet): MR33:7330
Zentralblatt MATH: 0135.39701
[10]3 A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. III, Inst. Hautes Études Sci. Publ. Math. (1966), no. 28, 255.
Mathematical Reviews (MathSciNet): MR36:178
Zentralblatt MATH: 0144.19904
[10]4 A. Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas IV, Inst. Hautes Études Sci. Publ. Math. (1967), no. 32, 361.
Mathematical Reviews (MathSciNet): MR39:220
Zentralblatt MATH: 0153.22301
[11] A. Grothendieck and M. Raynaud, Revêtements étales et groupe fondamental, Lecture Notes in Mathematics, vol. 224, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR50:7129
Zentralblatt MATH: 0234.14002
[12] S. Kleiman, Motives, Algebraic geometry, Oslo 1970 (Proc. Fifth Nordic Summer-School in Math., Oslo, 1970), Wolters-Noordhoff, Groningen, 1972, pp. 53–82.
Mathematical Reviews (MathSciNet): MR52:3152
Zentralblatt MATH: 0285.14005
[13] F. Knudsen, The projectivity of the moduli space of stable curves. II. The stacks $M\sbg,n$, Math. Scand. 52 (1983), no. 2, 161–199.
Mathematical Reviews (MathSciNet): MR85d:14038a
Zentralblatt MATH: 0544.14020
[14] M. Kontsevich, Enumeration of rational curves via torus actions, The moduli space of curves (Texel Island, 1994), Progr. Math., vol. 129, Birkhäuser Boston, Boston, MA, 1995, pp. 335–368.
Mathematical Reviews (MathSciNet): MR97d:14077
Zentralblatt MATH: 0885.14028
[15] M. Kontsevich and Yu. 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
[16] M. Kontsevich and Yu. Manin, Quantum cohomology of a product, Invent. Math. 124 (1996), no. 1-3, 313–339, (appendix by R. Kaufmann).
Mathematical Reviews (MathSciNet): MR97e:14064
Zentralblatt MATH: 0853.14021
Digital Object Identifier: doi:10.1007/s002220050055
[17] A. J. Scholl, Classical motives, Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 163–187.
Mathematical Reviews (MathSciNet): MR95b:11060
Zentralblatt MATH: 0814.14001
[18] A. Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Invent. Math. 97 (1989), no. 3, 613–670.
Mathematical Reviews (MathSciNet): MR90k:14004
Zentralblatt MATH: 0694.14001
Digital Object Identifier: doi:10.1007/BF01388892
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