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Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms |
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| Authors: | Benjamin Braun Jonathan Browder Steven Klee |
| Institution: | 1. Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA 2. Department of Mathematics, University of Washington, Box 354350, Seattle, WA, 98195, USA 3. Mathematical Sciences Building, University of California, One Shields Ave., Davis, CA, 95616, USA |
| 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. |
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