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# Thomas Walpuski : G2Â?instantons over twisted connected sums

In joint work with H. SÃ¡ Earp we introduced a method to construct G2Â?instantons over compact G2Â?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 G2Â?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.

**Category**: Geometry and Topology**Duration**: 01:34:49**Date**: March 31, 2015 at 4:25 PM**Views**: 178-
**Tags:**seminar, Geometry/topology Seminar

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