Calorons, Nahm's equations on \(S^{1}\) and bundles over \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\)
type: Item
instance of: scholarly article
title: Calorons, Nahm's equations on \(S^{1}\) and bundles over \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\)
zbMATH Open document ID: 1144.53034
author: Benoit Charbonneau
author: Jacques Hurtubise
published in: Communications in Mathematical Physics
publication date: 2008-07-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0610804
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 58D27
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 5306106
MaRDI profile type: Publication
OpenAlex ID: W2085310017
arXiv ID: math/0610804
cites work: Instantons in two and four dimensions
cites work: Construction of instantons
cites work: Constituent monopoles through the eyes of fermion zero-modes
cites work: Higher charge calorons with non-trivial holonomy
cites work: Multi-caloron solutions
cites work: Stable 2-bundles on Hirzebruch surfaces
cites work: The Nahm transform for calorons
cites work: Construction of instanton and monopole solutions and reciprocity
cites work: Instantons and geometric invariant theory
cites work: Nahm's equations and the classification of monopoles
cites work: Kac-Moody monopoles and periodic instantons
cites work: Q4195061
cites work: The Yang–Mills system in compactified Minkowski space; Invariance conditions and SU(2) invariant solutions
cites work: Q4143433
cites work: The Self-Duality Equations on a Riemann Surface
cites work: The classification of monopoles for the classical groups
cites work: A survey on Nahm transform
cites work: Q4354328
cites work: Q4003207
cites work: Instantons, monopoles and toric hyperKähler manifolds
cites work: Exact T-duality between calorons and Taub-NUT spaces
cites work: Periodic instantons with non-trivial holonomy
cites work: Instantons and magnetic monopoles on \({\mathbb{R}}^ 3\times S^ 1\) with arbitrary simple gauge groups.
cites work: Periodic instantons and the loop group
cites work: An \(L^2\)-index theorem for Dirac operators on \(S^1\times\mathbb{R}^3\)
cites work: Vector bundles on complex projective spaces
DOI: 10.1007/S00220-008-0468-7
Recommended article: The Calabi-Yau equation on the Kodaira-Thurston manifold, viewed as an \(S^1\)-bundle over a 3-torus
Recommended article: The Calabi-Yau equation for T\(^2\)-bundles over T\(^2\): the non-Lagrangian case
Recommended article: Calabi-Yau connections with torsion on toric bundles
Recommended article: Calabi-Yau structures on cotangent bundles
Recommended article: Instanton bundles on P1×F1
Recommended article: The Calabi homomorphism, Lagrangian paths and special Lagrangians
Recommended article: Calabi-Yau manifolds of cohomogeneity one as complex line bundles
Recommended article: On generalized Calabi-Yau nilmanifolds
Recommended article: The Calabi-Yau equation, symplectic forms and almost complex structures
Recommended article: Cyclic homology, \(S^1\)-equivariant Floer cohomology and Calabi-Yau structures
description: scientific article