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Invariant G_2-instantons

Jason D. Lotay (University College London)
Tirsdag, 8 november, 2016, at 14:15-15:15, in Aud. G2 (1532-122)

Since Donaldson-Thomas proposed a programme for studying gauge theory in higher dimensions, there has been significant interest in understanding special Yang-Mills connections in Ricci-flat 7-manifolds with holonomy G_2 called G_2-instantons.  However, still relatively little is known about these connections, so we begin the systematic study of G_2-instantons in the SU(2) ^ 2-invariant setting.  We provide existence, non-existence and classification results, and exhibit explicit sequences of G_2-instantons where “bubbling" and "removable singularity" phenomena occur in the limit.  This is joint work with Goncalo Oliveira (Duke).

AaDAG seminar:   Aa rhus  D ifferential  A lgebraic  G eometry seminar  

Organiseret af: QGM
Kontaktperson: Thomas Bruun Madsen