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What is Symmetric (Co) Homology Polytopes: Abstract about?

This paper introduces a generalization of symmetric edge polytopes to arbitrary simplicial complexes, termed symmetric homology and cohomology polytopes. The authors explore the geometric properties of these polytopes, including their integer decomposition property, facets, and reflexivity, and establish connections between topological and geometric characteristics. Using Gröbner basis techniques, they provide insights into the structure of these polytopes and highlight differences from classical symmetric

Author

cjinggg

Language

EN