Abstract
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. Motivated by work of Dochtermann and Engström, 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.
Original language | English |
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Pages (from-to) | 321-344 |
Number of pages | 24 |
Journal | Israel Journal of Mathematics |
Volume | 196 |
Issue number | 1 |
DOIs | |
State | Published - Aug 2013 |
Bibliographical note
Funding Information:∗ Benjamin Braun was partially supported by NSF award DMS-0758321. ∗∗ Jonathan Browder was partially supported by NSF VIGRE award DMS-0354131. † Steven Klee was partially supported by NSF VIGRE award DMS-0636297. Received February 11, 2011 and in revised form March 5, 2012
ASJC Scopus subject areas
- General Mathematics