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Local mean dimension of ASD moduli spaces over the cylinder

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 its deformation theory and show that there exist sufficiently many non-degenerate ASD connections by using the method of gluing infinitely many instantons.

preprint2013arXivOpen access
Shinichiroh MatsuoMasaki Tsukamoto
math.DSmath.DG
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Shinichiroh MatsuoMasaki Tsukamoto

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