A new topological construction of infinite families of toric manifolds implying fan reduction

Details A new topological construction of infinite families of toric manifolds implying fan reduction A new topological construction of infinite families of toric manifolds implying fan reduction

2010-10-30

arxiv.org/abs/1011.0094v3

Mathematics

Algebraic Topology

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Scientific paper

An infinite family of toric manifolds is constructed from a given one $M^{2n}$, using only the original characteristic function (or fan) data. This is done in a way which simplifies significantly the presentation of the cohomology of the manifolds in the family. The manifolds are interpreted in the context of polyhedral products (generalized moment-angle complexes) and analogues of the Davis-Januszkiewicz spaces. Further properties of generalized moment-angle complexes with respect to the simplicial wedge construction are developed, including one concerning the action of the Steenrod algebra.

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