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Euler Characteristics of SU(2) Instanton Moduli Spaces on Rational Elliptic Surfaces

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Abstract:

Recently, Minahan, Nemeschansky, Vafa and Warner computed partition functions for N = 4 topological Yang–Mills theory on rational elliptic surfaces. In particular they computed generating functions of Euler characteristics of SU(2)-instanton moduli spaces. In mathematics, they are expected to coincide with those of Gieseker compactifications. In this paper, we compute Euler characteristics of these spaces and show that our results coincide with theirs. We also check the modular property of Z SU (2) and Z SO (3) conjectured by Vafa and Witten.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kobe University, Kobe, 657, Japan.¶E-mail: yoshioka@math.kobe-u.ac.jp, , , , , , JP

    Kõta Yoshioka

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  1. Kõta Yoshioka
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Received: 8 June 1998 / Accepted: 1 February 1999

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Yoshioka, K. Euler Characteristics of SU(2) Instanton Moduli Spaces on Rational Elliptic Surfaces. Comm Math Phys 205, 501–517 (1999). https://doi.org/10.1007/s002200050687

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  • DOI: https://doi.org/10.1007/s002200050687

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