Real Moment Angle Complexes and Embedding in Riemann Surfaces
Speaker:
Shouman Das, University of Rochester
Date and Time:
Friday, January 24, 2020 - 2:20pm to 2:50pm
Location:
Fields Institute, Room 230
Abstract:
We will talk about the embedding of real moment angle complex $Z_K(D^1,S^0)$ in a surface when $K$ is a subcomplex of the boundary of an $n$-gon. When $K$ is the full boundary of an $n$-gon, we define an action of the cyclic group $C_n$ on the polyhedral product and show that $Z_K(D^1,S^0)/C_n$ is a closed, compact and orientable surface, and give a formula for calculating it's genus. We also describe the invertible natural transformations of polyhedral products in terms of the underlying simplicial complex $K$.