Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425192 | Advances in Mathematics | 2016 | 15 Pages |
Abstract
A long-standing conjecture of Stanley states that every Cohen-Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Art M. Duval, Bennet Goeckner, Caroline J. Klivans, Jeremy L. Martin,