The Stiefel-Whitney classes of moment-angle manifolds are trivial

TL;DR

This paper proves that the Stiefel-Whitney classes of moment-angle manifolds are always trivial, regardless of smoothness, and also examines their partial quotients.

Contribution

It establishes the triviality of Stiefel-Whitney classes for moment-angle manifolds and explores their partial quotients, extending previous understanding.

Findings

Stiefel-Whitney classes of moment-angle manifolds are trivial

Partial quotients of these manifolds also have trivial Stiefel-Whitney classes

Results hold even for non-smooth manifolds

Abstract

We prove that the Stiefel-Whitney classes of a moment-angle manifold, not necessarily smooth, are trivial. We also consider Stiefel-Whitney classes of the partial quotient of a moment-angle manifold.