Another way to enumerate rational curves with torus actions

Abstract

A new proof of the mirror conjecture for Fano and Calabi-Yau complete intersections in P^n is given, using only the circle action on the graph space. The proof applies to projective bundles as well, with applications to "linear" relative Calabi-Yau's and to Schubert calculus.

30 pages, LaTeX. Section 4 has been eliminated and the proofs of Lemmas 4.4 and 5.1 have been improved. The introduction has also been rewritten to better indicate the new ideas in this paper and to emphasize that it contains a proof of the mirror conjecture which is simpler than previous proofs and completely independent of them

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