Resonance in orbits of plane partitions - Archive ouverte HAL
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2020

Resonance in orbits of plane partitions

Abstract

We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance of promotion and rowmotion [J. Striker–N. Williams '12] to higher dimensional lattices. This theorem implies new results for K-promotion and new proofs of previous results on plane partitions.
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Dates and versions

hal-02173383 , version 1 (04-07-2019)

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Kevin Dilks, Oliver Pechenik, Jessica Striker. Resonance in orbits of plane partitions. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6394⟩. ⟨hal-02173383⟩
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