Cohomology operations for moment-angle complexes

Cohomology operations for moment-angle complexes

Steven Amelotte, University of Rochester

Zoom link:

Passcode: 114700

In this talk we will describe certain higher cohomology operations induced by the torus action on a moment-angle complex. Focusing on examples, we explain how these operations assemble into an explicit Hirsch-Brown model of the torus action and can be used to give a combinatorial description of the minimal free resolution of Stanley-Reisner rings. Finally, we indicate the relevance of these operations to cohomological rigidity and give some new examples of B-rigid polytopes.

This talk is based on joint work with Benjamin Briggs.