Matroid psi等级。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 Epub Date: 2022-04-01 DOI:10.1007/s00029-022-00771-5

Jeshu Dastidar, Dustin Ross

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引用次数: 8

摘要

受曲线模空间交理论的启发，我们在拟阵Chow环中引入了psi类，并证明了一些性质，这些性质自然地推广了Losev-Manin空间Chow环的psi类的性质。我们利用拟阵psi类的这些性质，给出了（1）拟阵的约化特征多项式系数的Chow理论解释，（2）拟阵体积多项式的显式公式，以及（3）拟阵Chow环的Poincaré对偶的新证明。

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Matroid psi classes.

Motivated by the intersection theory of moduli spaces of curves, we introduce psi classes in matroid Chow rings and prove a number of properties that naturally generalize properties of psi classes in Chow rings of Losev-Manin spaces. We use these properties of matroid psi classes to give new proofs of (1) a Chow-theoretic interpretation for the coefficients of the reduced characteristic polynomials of matroids, (2) explicit formulas for the volume polynomials of matroids, and (3) Poincaré duality for matroid Chow rings.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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