Geometry and Topology Seminar | Anton Iliashenko | Deformation theory of associative and coassociative Smith maps

Anton Iliashenko, Beijing Institute of Mathematical Sciences and Applications

Deformation theory of associative and coassociative Smith maps

Associative and coassociative Smith maps are generalizations of pseudo-holomorphic curves in the \(G_2\) setting. We construct the right framework for the deformation theory using the spinorial formulation. This is enough to establish generic non-existence. Then we discuss where the theory goes from there.

MC 5403