论文部分内容阅读
A report of recent joint work with Martin Bendersky,Fred Cohen and Sam Gitler.The topics discussed will include the realization of monomial ideal rings and operations on polyhedral products which lead to the construction of infinite families of toric manifolds.The latter will be interpreted in terms of a rearrangement of the Davis-Januszkiewicz construction which allows for generalization.If time permits,I shall try to describe briefly a new refined stable splitting of polyhedral products,a new spectral sequence and an application of Taylor resolutions to Avramov equivalence of monomial ideals.