### 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 language | English |
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Pages (from-to) | 107-131 |

Number of pages | 25 |

Journal | Nagoya Mathematical Journal |

Volume | 188 |

Publication status | Published - Dec 1 2007 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Tsukamoto, M. (2007). Gluing an infinite number of instantons.

*Nagoya Mathematical Journal*,*188*, 107-131.