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Geometry/Topology Seminar

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Tuesday, March 31, 2015
4:30 pm - 5:30 pm
Thomas Walpuski (MIT)

"G2¿instantons over twisted connected sums"In joint work with H. Sá Earp we introduced a method to construct G2¿instantons over compact G2¿manifolds arising as the twisted connected sum of a matching pair of building blocks. I will recall some of the background (including the twisted connected sum construction and a short discussion as to why one should care about G2¿instantons), discuss our main result and explain how to interpret it in terms of certain Lagrangian subspaces of a moduli space of stable bundles on a K3 surface. If time permits, I will discuss an idea to construct the input required by our gluing theorem.

Contact: Monique Brown