"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs

2016/03/15 by Gleb Nenashev, Boris Shapiro, Nenashev, G. +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1603.04654

openalex publication_date 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \citePS. We show that two such filtered algebras are isomorphic if and only if their graphs are isomorphic. We also study a large family of filtered generalizations of the latter graded algebra which includes the above "K-theoretical" analog.

Cited by

• Edge-Span Chern Algebras of Graphical Configuration Spaces

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