Department of Mathematics

Geometry and Topology

  •  Alex Waldron, Michigan State University
  •  $G_2$-instantons on the 7-sphere
  •  09/05/2019
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall

I'll discuss a forthcoming paper studying families of $G_2$-instantons on $S^7$, focusing on those which are obtained by pulling back asd instantons on $S^4 $ via the quaternionic Hopf fibration. In the charge-1 case this yields a smooth and complete 15-dimensional family. The situation for higher charge is more complicated, but we are able to compute all the infinitesimal deformations.

 

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Michigan State University
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