Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds

TL;DR

This paper demonstrates that the moduli space of torus-invariant positive scalar curvature metrics on specific quasitoric manifolds has non-trivial higher homotopy groups, revealing complex topological structures.

Contribution

It establishes the non-triviality of higher homotopy groups in the moduli space for these manifolds, a novel insight into their geometric topology.

Findings

Higher homotopy groups are non-trivial

Moduli space has complex topological structure

Focus on torus-invariant positive scalar curvature metrics

Abstract

We show that the higher homotopy groups of the moduli space of torus-invariant positive scalar curvature metrics on certain quasitoric manifolds are non-trivial.