Pseudograph and its associated real toric manifold

Suyoung Choi; Boram Park; Seonjeong Park

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arXiv · 1506.06866

Pseudograph and its associated real toric manifold

Suyoung Choi·Boram Park·Seonjeong Park

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Abstract

Given a simple graph $G$, the graph associahedron $P_G$ is a convex polytope whose facets correspond to the connected induced subgraphs of $G$. Graph associahedra have been studied widely and are found in a broad range of subjects. Recently, S. Choi and H. Park computed the rational Betti numbers of the real toric variety corresponding to a graph associahedron under the canonical Delzant realization. In this paper, we focus on a pseudograph associahedron which was introduced by Carr, Devadoss and Forcey, and then discuss how to compute the Poincaré polynomial of the real toric variety corresponding to a pseudograph associahedron under the canonical Delzant realization.

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Suyoung Choi, Boram Park, Seonjeong Park. 2016-07-26. Pseudograph and its associated real toric manifold. https://arxiv.org/abs/1506.06866

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