Local mean dimension of ASD moduli spaces over the cylinder

Shinichiroh Matsuo; Masaki Tsukamoto

doi:10.1007/s11856-015-1162-z

Local mean dimension of ASD moduli spaces over the cylinder

Shinichiroh Matsuo, Masaki Tsukamoto

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	793-834
Number of pages	42
Journal	Israel Journal of Mathematics
Volume	207
Issue number	2
DOIs	https://doi.org/10.1007/s11856-015-1162-z
Publication status	Published - Apr 27 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s11856-015-1162-z

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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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Local mean dimension of ASD moduli spaces over the cylinder

Abstract

All Science Journal Classification (ASJC) codes

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