G2-instantons over twisted connected sums

By H. S. Earp, Thomas Walpuski. 2013

62 citations recorded by the source corpus.

We introduce a method to construct G2 ‐instantons over compact G2 ‐manifolds arising as the twisted connected sum of a matching pair of building blocks. Our construction is based on gluing G2 ‐instantons obtained from holomorphic vector bundles over the building blocks via the first author’s work. We require natural compatibility and transversality conditions which can be interpreted in terms of certain Lagrangian subspaces of a moduli space of stable bundles on a K3 surface.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8602cbe8605946cd46e7c7bc320ad82d25349b84