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On the conformal systoles of four-manifolds

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Abstract

We extend a result of M. Katz on conformal systoles to all four-manifolds with \(b_2^+=1\) which have odd intersection form. The same result holds for all four-manifolds with \(b_2^+=1\) with even intersection form and which are symplectic or satisfy the so-called \(\frac{5}{4}\)-conjecture.

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Authors and Affiliations

  1. Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333, München, Germany

    M. J. D. Hamilton

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  1. M. J. D. Hamilton
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Correspondence to M. J. D. Hamilton.

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Hamilton, M.J.D. On the conformal systoles of four-manifolds. manuscripta math. 121, 417–424 (2006). https://doi.org/10.1007/s00229-006-0043-5

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  • DOI: https://doi.org/10.1007/s00229-006-0043-5

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