Quasitoric manifold

A quasitoric manifold is a type of manifold that can be described as a generalization of toric varieties. More precisely, quasitoric manifolds are smooth, even-dimensional manifolds that admit a smooth action by a torus (usually denoted as \( T^n \), where \( n \) is the dimension of the manifold) and have a specific relationship with combinatorial data represented by a simple polytope.