From quivers to hyperkahler manifolds: a construction of Gaiotto, Moore, and Neitzke
- đ¤ Speaker: Tom Bridgeland (Oxford)
- đ Date & Time: Wednesday 02 February 2011, 14:15 - 15:15
- đ Venue: MR13, CMS
Abstract
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.
Series This talk is part of the Algebraic Geometry Seminar series.
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Tom Bridgeland (Oxford)
Wednesday 02 February 2011, 14:15-15:15