@article{Deshpande2022OnTT,
title={On the topology of bi-cyclopermutohedra},
author={Priyavrat Deshpande and Naageswaran Manikandan and Anurag Singh},
journal={Indian Journal of Pure and Applied Mathematics},
year={2022}
}

Motivated by the work of Panina and her coauthors on cyclopermutohedron we study a poset whose elements correspond to equivalence classes of partitions of the set $\{1,\cdots, n+1\}$ up to cyclic permutations and orientation reversion. This poset is the face poset of a regular CW complex which we call bi-cyclopermutohedron and denote it by $\mathrm{QP}_{n+1}$. The complex $\mathrm{QP}_{n+1}$ contains subcomplexes homeomorphic to moduli space of certain planar polygons with $n+1$ sides up to… Expand

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These lecture notes for the IAS/Park City Graduate Summer School in Geometric Combinatorics (July 2004) provide an overview of poset topology. These notes include introductory material, as well as… Expand