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Journal of Topology Advance Access originally published online on February 5, 2008
Journal of Topology 2008 1(2):429-445; doi:10.1112/jtopol/jtm014
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© 2008 London Mathematical Society

Mirror symmetry formulae for the elliptic genus of complete intersections

Vassily Gorbounov

Department of Mathematical Sciences, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom vgorb@maths.abdn.ac.uk

Serge Ochanine

Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA ochanine@ms.uky.edu


  Abstract

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.

Received July 6, 2007.

2000 Mathematics Subject Classification 14J32 (primary), 55N34, 14M10

The first author is partially supported by the NSF.


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