Topological Quantum Field Theory Seminar   RSS

06/12/2007, 15:30 — 16:30 — Room P3.10, Mathematics Building
, International School for Advanced Studies (SISSA), Trieste

Instantons and framed bundles on rational surfaces

The talk concerns a correspondence between framed instantons on the one-point compactification of an affine complex surface X, and framed holomorphic bundles on a projective completion of X. This correspondence is known for X the affine plane (Donaldson) and X the affine plane blown up at a point (King). After reviewing these cases, I will discuss possible generalizations (basically, when the projective completion is a rational surface). I will also spend some words on instanton countings on these surfaces. Physically this corresponds to studying the Nekrasov partition function for topological super Yang-Mills theories on X.

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.