Construction of doubly-periodic instantons

Details Construction of doubly-periodic instantons Construction of doubly-periodic instantons

1999-09-14

arxiv.org/abs/math/9909069v3

Commun.Math.Phys. 216 (2001) p. 1-15.

Mathematics

Differential Geometry

Final version to appear on CMP

Scientific paper

10.1007/PL00005546

We construct finite energy instanton connection on $R^4$ which are periodic
in two directions via an analogue of the Nahm transform for certain singular
solutions of Hitchin's equations defined over a 2-torus.

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