Geometry Seminar

Two-frame fields on Simply Connected Spin 7-Manifolds

Ustun Yildirim, University of Rochester

Tuesday, February 25th, 2020
3:30 PM - 4:30 PM
Hylan 1106A

In this talk, we show that a 1-frame field on a simply connected, closed, spin, 7-manifold can be extended to a 2-frame field. Main ingredient of the proof is Postnikov resolution of a fibration. A corollary of our result is that every almost contact structure on an (almost) G2 manifold is B-compatible with the G2 structure. This is joint work with E. Windes.

Event contact: sema dot salur at rochester dot edu