Geometry & Topology Seminar

Thomas Walpuski, MIT - Massachusetts Institute of Technology

“G2instantons over twisted connected sums”

In joint work with H. S Earp we introduced a method to construct G2instantons over compact G2manifolds 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 G2instantons), 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.

MC 5413