Title: "From vortices to instantons on the Euclidean Schwarzschild manifold"


 Abstract: "The first irreducible solution of the SU(2) self-duality equations
 on the Euclidean Schwarzschild (ES) manifold was found by Charap and Duff in
 1977, only 2 years later than the famous BPST instantons were
 discovered. While soon after, in 1978, the ADHM construction gave a complete
 description of the moduli spaces of instantons on R^4, the case of the
 Euclidean Schwarzschild manifold has resisted many efforts for the past 40
 years.  By exploring a correspondence between the planar Abelian vortices and
 spherically symmetric instantons on ES, we obtain: a complete description of
 a connected component of the moduli space of unit energy SU(2) instantons;
 new examples of instantons with non-integer energy and non-trivial holonomy
 at infinity; a complete classification of finite energy, spherically
 symmetric, SU(2) instantons.  As opposed to the previously known solutions,
 the generic instanton coming from our construction is not invariant under the
 full isometry group, in particular not static. Hence disproving a conjecture
 of Tekin.  This is a joint work with Goncalo Oliveira (IMPA)."