Calorons, Nahm's equations on S^1 and bundles over P^1xP^1

dc.creatorCharbonneau, Benoit
dc.creatorHurtubise, Jacques
dc.date2006-10-26
dc.date.accessioned2026-07-07T11:28:14Z
dc.date.available2026-07-07T11:28:14Z
dc.descriptionThe moduli space of solutions to Nahm's equations of rank (k,k+j) on the circle, and hence, of SU(2) calorons of charge (k,j), is shown to be equivalent to the moduli of holomorphic rank 2 bundles on P^1xP^1 trivialized at infinity with c_2=k and equipped with a flag of degree j along P^1x{0}. An explicit matrix description of these spaces is given by a monad construction
dc.identifierhttps://arxiv.org/abs/math/0610804
dc.identifierhttp://arxiv.org/abs/math/0610804
dc.identifierCommun.Math.Phys.280:315-349,2008
dc.identifierdoi:10.1007/s00220-008-0468-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196375
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53C07;14D20
dc.titleCalorons, Nahm's equations on S^1 and bundles over P^1xP^1
dc.typetext

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