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Gluing an Infinite Number of Instantons

Published online by Cambridge University Press:  11 January 2016

Masaki Tsukamoto
Masaki Tsukamoto*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan, tukamoto@math.kyoto-u.ac.jp
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Abstract

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This paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an “infinite energy” situation. We show that we can glue an infinite number of instantons, and that the resulting ASD connections have infinite energy in general. Moreover they have an infinite dimensional parameter space. Our construction is a generalization of Donaldson’s “alternating method”.

Keywords

58D2753C0746T05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 188 , December 2007 , pp. 107 - 131
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

References

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