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Local mean dimension of ASD moduli spaces over the cylinder

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Abstract

We study an infinite-dimensional ASD moduli space over the cylinder. Our main result is the formula of its local mean dimension. A key ingredient of the argument is the notion of non-degenerate ASD connections. We develop their deformation theory and show that there exist sufficiently many non-degenerate ASD connections by using the method of gluing infinitely many instantons.

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Authors and Affiliations

  1. Department of Mathematics, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Shinichiroh Matsuo

  2. Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan

    Masaki Tsukamoto

Authors
  1. Shinichiroh Matsuo
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  2. Masaki Tsukamoto
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Correspondence to Shinichiroh Matsuo.

Additional information

Shinichiroh Matsuo and Masaki Tsukamoto were supported by Grant-in-Aid for Young Scientists (B) 2580045 and 25870334, respectively, from JSPS

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Matsuo, S., Tsukamoto, M. Local mean dimension of ASD moduli spaces over the cylinder. Isr. J. Math. 207, 793–834 (2015). https://doi.org/10.1007/s11856-015-1162-z

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  • DOI: https://doi.org/10.1007/s11856-015-1162-z

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