Mirror symmetry formulae for the elliptic genus of complete intersections

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

In this paper we calculate the elliptic genus of certain complete
intersections in products of projective spaces. We show that it is equal to the
elliptic genus of the Landau-Ginzburg models that are, according to Hori and
Vafa, mirror partners of these complete intersections. This provides additional
evidence of the validity of their construction.

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