Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms

Details Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms

2011-03-07

arxiv.org/abs/1103.1275v1

Mathematics

Combinatorics

submitted

Scientific paper

In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. As a key ingredient of our work, we introduce the class of cointerval simplicial complexes and investigate their combinatorial and topological properties. As a concrete illustration of these structural results, we introduce and study nonnesting monomial ideals, an interesting family of combinatorially defined ideals.

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