Local mean dimension of ASD moduli spaces over the cylinder
Differential Geometry
2013-02-26 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1302.5977,
title = {Local mean dimension of ASD moduli spaces over the cylinder},
author = {Shinichiroh Matsuo and Masaki Tsukamoto},
journal= {arXiv preprint arXiv:1302.5977},
year = {2013}
}
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33 pages