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arXiv · 1903.04318

Cyclic posets and triangulation clusters

Kiyoshi Igusa·Gordana Todorov
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Abstract

Triangulated categories coming from cyclic posets were originally introduced by the authors in [IT15b] as a generalization of the constructions of various triangulated categories with cluster structures. We give an overview, then analyze triangulation clusters which are those corresponding to topological triangulations of the 2-disk. Locally finite non-triangulation clusters give topological triangulations of the cactus space associated to the cactus cyclic poset.

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Kiyoshi Igusa, Gordana Todorov. 2019-03-11. Cyclic posets and triangulation clusters. https://doi.org/10.1007/s11425-018-9507-3

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