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Seminar by Goncalo Oliveira (Duke University)

Title: G2-instantons with symmetry

2017.06.26 | Jane Jamshidi

Date Tue 04 Jul
Time 14:15 15:15
Location 1532-122 (Aud-G2)


G2-instantons, are 7-dimensional analogs of anti-self-dual connections in 4 dimensions, which however require the underlying manifold to have a G2-structure. The interest on these G2-instantons comes from the suggestion, of Donaldson and Segal, that it may be possible to use them to define enumerative invariants of G2-holonomy metrics. In the talk, I shall report on joint work with Jason Lotay where we give existence, non-existence and classification results for these instantons. In the particular case of R^4 x S^3, with it's two explicitly known distinct G2-holonomy metrics, we exhibit the different behavior of instantons. We also give an explicit example of sequences of G2-instantons where “bubbling” and “removable singularity” phenomena occur in the limit.