Israel Journal of Mathematics

, Volume 207, Issue 2, pp 793–834 | Cite as

Local mean dimension of ASD moduli spaces over the cylinder

Article

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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© Hebrew University of Jerusalem 2015

Authors and Affiliations

  1. 1.Department of MathematicsOsaka UniversityToyonaka, OsakaJapan
  2. 2.Department of MathematicsKyoto UniversityKyotoJapan

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