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

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

2006-10-26

arxiv.org/abs/math/0610804v1

Commun.Math.Phys.280:315-349,2008

Mathematics

Differential Geometry

Scientific paper

10.1007/s00220-008-0468-7

The 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

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