Gluing an infinite number of instantons

Research output: Contribution to journalArticle

Abstract

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".

Original languageEnglish
Pages (from-to)107-131
Number of pages25
JournalNagoya Mathematical Journal
Volume188
Publication statusPublished - Dec 1 2007
Externally publishedYes

Fingerprint

Gluing
Instantons
Infinite-dimensional Spaces
Gauge Theory
Energy
Yang-Mills Theory
Moduli Space
Parameter Space
Generalise

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Gluing an infinite number of instantons. / Tsukamoto, Masaki.

In: Nagoya Mathematical Journal, Vol. 188, 01.12.2007, p. 107-131.

Research output: Contribution to journalArticle

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