Journal of the Mathematical Society of Japan

Pseudograph and its associated real toric manifold

Suyoung CHOI, Boram PARK, and 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.

Article information

Source
J. Math. Soc. Japan, Volume 69, Number 2 (2017), 693-714.

Dates
First available in Project Euclid: 20 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1492653643

Digital Object Identifier
doi:10.2969/jmsj/06920693

Mathematical Reviews number (MathSciNet)
MR3638281

Zentralblatt MATH identifier
1376.57022

Subjects
Primary: 55U10: Simplicial sets and complexes
Secondary: 57N65: Algebraic topology of manifolds 05C30: Enumeration in graph theory

Keywords
pseudograph associahedron real toric variety

Citation

CHOI, Suyoung; PARK, Boram; PARK, Seonjeong. Pseudograph and its associated real toric manifold. J. Math. Soc. Japan 69 (2017), no. 2, 693--714. doi:10.2969/jmsj/06920693. https://projecteuclid.org/euclid.jmsj/1492653643


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