The Aspinwall-Morrison calculation and Gromov-Witten theory.

DOI10.2140/PJM.2002.205.99zbMATH Open1076.14051arXivmath/0004136OpenAlexW1966122994MaRDI QIDQ701277

Artur Elezi

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Abstract: We prove the Aspinwall-Morrison formula by relating their calculation to Gromov-Witten theory.

Full work available at URL: https://arxiv.org/abs/math/0004136

zbMATH Keywords

mirror symmetrymoduli spacesCalabi-Yau threefoldsquantum cohomologystring theoriesGromov-Witten invariants

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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