Thesis Defense

On the Structure of Polyhedral Products

Shouman Das

Friday, June 19th, 2020
3:00 PM - 5:00 PM

In this thesis, we study the structure of the polyhedral product determined by an abstract simplicial complex and the pair . We showed that there is natural embedding of the hypercube graph in where is the boundary of an -gon. This also provides a new proof of a known theorem about genus of the hypercube graph. We give a description of the invertible natural transformations of the polyhedral product functor. Then, we study the action of the cyclic group on the space . This action determines a -module structure of the homology group . We also study the Leray-Serre spectral sequence associated to the homotopy orbit space .

Zoom meeting room: link

Event contact: cynthia dot spencer at rochester dot edu