Geodesic
Quantum cohomology of complete intersections
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 384-398
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The quantum cohomology algebra of a projective manifold $X$ is the cohomology $H^*(X,\mathbf Q)$ endowed with a different algebra structure, which takes into account the geometry of rational curves in $X$. We show that this algebra takes a remarkably simple form for complete intersections when the dimension is large enough with respect to the degree. As a consequence we get a number of enumerative formulas relating lines, conies and twisted cubics on $X$. 
@article{JMAG_1995_2_3_a11,
     author = {Arnaud Beauville},
     title = {Quantum cohomology of complete intersections},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {384--398},
     year = {1995},
     volume = {2},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a11/}
}
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Arnaud Beauville. Quantum cohomology of complete intersections. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 384-398. http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a11/