From quivers to hyperkahler manifolds: a construction of Gaiotto, Moore, and Neitzke

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• Tom Bridgeland (Oxford)
• Wednesday 02 February 2011, 14:15-15:15
• MR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

In the paper “4d wall crossing via 3d field theory”, Gaiotto, Moore, and Neitzke outline a method for associating a hyperkahler manifold to a quiver with potential. The crucial ingredient is the Kontsevich-Soibelman wall-crossing formula for Donaldson-Thomas invariants. Although their construction has not yet been made mathematically rigorous, I will try to sketch the general picture, and show how it works in some particular examples.

This talk is part of the Algebraic Geometry Seminar series.

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