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K3 Surfaces, Igusa Cusp Forms, and String Theory

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Topological Field Theory, Primitive Forms and Related Topics

Part of the book series: Progress in Mathematics ((PM,volume 160))

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Abstract

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

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Author information

Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Toshiya Kawai

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  1. Toshiya Kawai
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Editors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-01, Japan

    Masaki Kashiwara  & Kyoji Saito  & 

  2. Department of Mathematical Sciences, University of Tokyo, Tokyo, 153, Japan

    Atsushi Matsuo

  3. Department of Mathematics, Osaka University, Toyonaka-city, 560, Japan

    Ikuo Satake

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Kawai, T. (1998). K3 Surfaces, Igusa Cusp Forms, and String Theory. In: Kashiwara, M., Matsuo, A., Saito, K., Satake, I. (eds) Topological Field Theory, Primitive Forms and Related Topics. Progress in Mathematics, vol 160. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0705-4_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0705-4_10

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6874-1

  • Online ISBN: 978-1-4612-0705-4

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