Quantum Cohomology of Complete Intersections

Arnaud Beauville

Recherche Coopérative sur Programme n°25 (1997)

  • Volume: 48, page 57-68

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Beauville, Arnaud. "Quantum Cohomology of Complete Intersections." Recherche Coopérative sur Programme n°25 48 (1997): 57-68. <http://eudml.org/doc/274899>.

@article{Beauville1997,
author = {Beauville, Arnaud},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {57-68},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Quantum Cohomology of Complete Intersections},
url = {http://eudml.org/doc/274899},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Beauville, Arnaud
TI - Quantum Cohomology of Complete Intersections
JO - Recherche Coopérative sur Programme n°25
PY - 1997
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 48
SP - 57
EP - 68
LA - eng
UR - http://eudml.org/doc/274899
ER -

References

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  1. [C-G] H. Clemens, P. Griffiths: The intermediate Jacobian of the cubic threefold. Ann. of Math.95 , 281-356 (1972). Zbl0214.48302MR302652
  2. [C-M] B. Crauder, R. Miranda: Quantum cohomology of rational surfaces. Preprint alg-geom/9410028 (1994). Zbl0843.14014MR1363053
  3. [D] P. Deligne: Cohomologie des intersections complètes. SGA 7, Exposé XI; Lecture Notes in Math.340 , Springer-Verlag (1973). Zbl0265.14007MR354654
  4. [E-S] G. Ellingsrud, S.-A. Strømme: Bott's formula and enumerative geometry. Preprint alg-geom/9411005 (1994). Zbl0856.14019
  5. [G] A. Grothendieck: Sur quelques propriétés fondamentales en théorie des intersections. Séminaire Chevalley 1958 ("Anneaux de Chow et applications"), exp. IV. IHP (1958). 
  6. [K-O] S. Kobayashi, T. Ochiai: Characterizations of complex projective spaces and hyperquadrics. J. Math. Kyoto Univ.13 , 31-47 (1973). Zbl0261.32013MR316745
  7. [L] A. Libgober: Numerical characteristics of systems of straight lines on complete intersections. Math. Notes13 , 51-56 (1973). Zbl0264.14012MR332810
  8. [R-T] Y. Ruan, G. Tian: A mathematical theory of quantum cohomology. Preprint (1995). Zbl0860.58005MR1366548
  9. [V] C. Vafa: Topological mirrors and quantum rings, Essays on mirror manifolds ( S. -T. Yau ed.), 96-119; International Press, Hong-Kong (1992). Zbl0827.58073MR1191421
  10. [W] E. Witten: Topological sigma models. Commun. Math. Phys.118, 411 - 449 (1988). Zbl0674.58047MR958805

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