Global gauge fixing for connections with small curvature on T2

Takeo Nishinou

doi:10.1142/S0129167X0700400X

Global gauge fixing for connections with small curvature on T²

Takeo Nishinou

SCI - Mathematics

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

4 Citations (Scopus)

Abstract

In this paper, we will construct a global gauge for connections with small curvature on the trivial complex rank 2 bundle on T². In this gauge the connection matrix A satisfies ∥A∥_Cr+1 ≤ const.∥F_A∥_Cr^1/2.

Original language	English
Pages (from-to)	165-177
Number of pages	13
Journal	International Journal of Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1142/S0129167X0700400X
Publication status	Published - 2007 Feb 1

Keywords

Connections
Gauge fixing
Semistable bundles

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1142/S0129167X0700400X

Cite this

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title = "Global gauge fixing for connections with small curvature on T2",

abstract = "In this paper, we will construct a global gauge for connections with small curvature on the trivial complex rank 2 bundle on T2. In this gauge the connection matrix A satisfies ∥A∥Cr+1 ≤ const.∥FA∥Cr1/2.",

keywords = "Connections, Gauge fixing, Semistable bundles",

author = "Takeo Nishinou",

year = "2007",

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doi = "10.1142/S0129167X0700400X",

language = "English",

volume = "18",

pages = "165--177",

journal = "International Journal of Mathematics",

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AU - Nishinou, Takeo

PY - 2007/2/1

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N2 - In this paper, we will construct a global gauge for connections with small curvature on the trivial complex rank 2 bundle on T2. In this gauge the connection matrix A satisfies ∥A∥Cr+1 ≤ const.∥FA∥Cr1/2.

AB - In this paper, we will construct a global gauge for connections with small curvature on the trivial complex rank 2 bundle on T2. In this gauge the connection matrix A satisfies ∥A∥Cr+1 ≤ const.∥FA∥Cr1/2.

KW - Connections

KW - Gauge fixing

KW - Semistable bundles

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EP - 177

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

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