Wedge operations and a new family of projective toric manifolds

Abstract

Let $P_m(J)$ denote a simplicial complex obtainable from consecutive wedge operations from an $m$-gon. In this paper, we completely classify toric manifolds over $P_m(J)$ and prove that all of them are projective. As a consequence, we provide an infinite family of projective toric manifolds.

16 pages, 4 figures

References in corpus (2)

• Operations on polyhedral products and a new topological construction of infinite families of toric manifolds
• Wedge operations and torus symmetries

Cited by in corpus (1)

• Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices