Instanton approximation, periodic ASD connections, and mean dimension

Shinichiroh Matsuo, Masaki Tsukamoto

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We study a moduli space of ASD connections over S3×R. We consider not only finite energy ASD connections but also infinite energy ones. So the moduli space is infinite dimensional in general. We study the (local) mean dimension of this infinite dimensional moduli space. We show the upper bound on the mean dimension by using a "Runge-approximation" for ASD connections, and we prove its lower bound by constructing an infinite dimensional deformation theory of periodic ASD connections.

Original languageEnglish
Pages (from-to)1369-1427
Number of pages59
JournalJournal of Functional Analysis
Volume260
Issue number5
DOIs
Publication statusPublished - Mar 1 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis

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