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arXiv · 2308.07409

Painted Tropical Complexes

Gabriel Kerr·Sophia Palcic
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Abstract

We define the notion of a painted tropical $A$-complex and describe a poset structure on the set of all such complexes. This poset is equivalent to the face lattice of a secondary polytope $Σ(\bar{A}_α)$ where $\bar{A}_α$ is built from $A$ and an additional point $α$. As a central application, we show that multiplihedra are also secondary polytopes.

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Gabriel Kerr, Sophia Palcic. 2023-08-14. Painted Tropical Complexes. https://arxiv.org/abs/2308.07409

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