• Corpus ID: 219179711

Order polynomial product formulas and poset dynamics

  title={Order polynomial product formulas and poset dynamics},
  author={Sam Hopkins},
  journal={arXiv: Combinatorics},
  • S. Hopkins
  • Published 2 June 2020
  • Mathematics
  • arXiv: Combinatorics
We survey all known examples of finite posets whose order polynomials have product formulas, and we put forward a heuristic which says that these are the same posets which have good dynamical behavior. Here the dynamics in question are the actions of promotion on the linear extensions of the poset, and rowmotion on the P-partitions of the poset. 

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