与弦网状体相关的实环流形

IF 1.2 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2025-08-26 DOI:10.1016/j.jcta.2025.106102

Suyoung Choi, Younghan Yoon

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引用次数: 0

摘要

本文研究了与弦网状体相关的实环流形的有理数Betti数。我们考虑了由弦建筑集导出的特定偏序集的偏序集拓扑，并证明了它的EL-shellability。在此基础上，对弦建筑集B给出了交替B-置换的显式描述，将计算Betti数转化为计数问题。这种方法允许我们通过排列计数来计算有限简单图的a数，当图是弦态时。此外，我们还对Hochschild多面体对应的真实Hochschild变种等具体情况进行了详细的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Real toric manifolds associated with chordal nestohedra

This paper investigates the rational Betti numbers of real toric manifolds associated with chordal nestohedra. We consider the poset topology of a specific poset induced from a chordal building set, and show its EL-shellability. Based on this, we present an explicit description using alternating

B

-permutations for a chordal building set

B

, transforming the computing Betti numbers into a counting problem. This approach allows us to compute the a-number of a finite simple graph through permutation counting when the graph is chordal. In addition, we provide detailed computations for specific cases such as real Hochschild varieties corresponding to Hochschild polytopes.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.