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arXiv · 1302.5977

Local mean dimension of ASD moduli spaces over the cylinder

Shinichiroh Matsuo·Masaki Tsukamoto
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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 its 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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Shinichiroh Matsuo, Masaki Tsukamoto. 2013-02-25. Local mean dimension of ASD moduli spaces over the cylinder. https://arxiv.org/abs/1302.5977

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