The Hitchin-Kobayashi correspondence for twisted triples

Steven B. Bradlow; Franz W. Kamber; James F. Glazebrook

doi:10.1142/S0129167X00000246

The Hitchin-Kobayashi correspondence for twisted triples

Steven B. Bradlow, Franz W. Kamber, James F. Glazebrook

Mathematics

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

Abstract

We introduce the twisted coupled vortex equations defined over a closed Kähler manifold X. There is an associated notion of stability for certain triples of holomorphic data on X. We establish a Hitchin-Kobayashi correspondence which relates the existence of solutions to these equations and the stability of a corresponding triple.

Original language	English (US)
Pages (from-to)	493-508
Number of pages	16
Journal	International Journal of Mathematics
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X00000246
State	Published - Jun 2000

Keywords

Donaldson functional
Hermitian Einstein equation
Hitchin Kobayashi correspondence
Stability
Twisted coupled vortex equations

ASJC Scopus subject areas

Mathematics(all)

Online availability

10.1142/S0129167X00000246

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title = "The Hitchin-Kobayashi correspondence for twisted triples",

abstract = "We introduce the twisted coupled vortex equations defined over a closed K{\"a}hler manifold X. There is an associated notion of stability for certain triples of holomorphic data on X. We establish a Hitchin-Kobayashi correspondence which relates the existence of solutions to these equations and the stability of a corresponding triple.",

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T1 - The Hitchin-Kobayashi correspondence for twisted triples

AU - Bradlow, Steven B.

AU - Kamber, Franz W.

AU - Glazebrook, James F.

PY - 2000/6

Y1 - 2000/6

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AB - We introduce the twisted coupled vortex equations defined over a closed Kähler manifold X. There is an associated notion of stability for certain triples of holomorphic data on X. We establish a Hitchin-Kobayashi correspondence which relates the existence of solutions to these equations and the stability of a corresponding triple.

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KW - Hermitian Einstein equation

KW - Hitchin Kobayashi correspondence

KW - Stability

KW - Twisted coupled vortex equations

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The Hitchin-Kobayashi correspondence for twisted triples

Abstract

Keywords

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