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- W2600083986 abstract "Consider 2n points on the unit circle and a reference dissection $${mathrm {D}}_circ $$ of the convex hull of the odd points. The accordion complex of $${mathrm {D}}_circ $$ is the simplicial complex of non-crossing subsets of the diagonals with even endpoints that cross a connected subset of diagonals of $${mathrm {D}}_circ $$ . In particular, this complex is an associahedron when $${mathrm {D}}_circ $$ is a triangulation and a Stokes complex when $${mathrm {D}}_circ $$ is a quadrangulation. In this paper, we provide geometric realizations (by polytopes and fans) of the accordion complex of any reference dissection $${mathrm {D}}_circ $$ , generalizing known constructions arising from cluster algebras." @default.
- W2600083986 created "2017-04-07" @default.
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- W2600083986 date "2018-05-29" @default.
- W2600083986 modified "2023-10-17" @default.
- W2600083986 title "Geometric Realizations of the Accordion Complex of a Dissection" @default.
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- W2600083986 doi "https://doi.org/10.1007/s00454-018-0004-2" @default.
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