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

Wedge operations and a new family of projective toric manifolds