Group actions on semimatroids

DOI10.1016/j.aam.2017.11.001zbMath1431.06001arXiv1507.06862OpenAlexW2962829731MaRDI QIDQ1693352

Emanuele Delucchi, Sonja Riedel

Publication date: 31 January 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06862

zbMATH Keywords

group actionsposetsmatroidshyperplane arrangementsTutte polynomialspseudoline arrangementstoric arrangements

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Preorders, orders, domains and lattices (viewed as categories) (18B35) Semilattices (06A12) Group actions on combinatorial structures (05E18)

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Cites Work

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• Matroids over a ring
• The integer cohomology algebra of toric arrangements
• Vector partition functions and index of transversally elliptic operators
• Periodicity of non-central integral arrangements modulo positive integers
• On the geometry of toric arrangements
• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Topics in hyperplane arrangements, polytopes and box-splines
• Combinatorics and topology of toric arrangements defined by root systems
• Affine and toric hyperplane arrangements
• On geometric semilattices
• Some aspects of groups acting on finite posets
• Homotopy equivalence of posets with a group action
• Graph colorings, flows and arithmetic Tutte polynomial
• Group actions on posets
• On matroids and Orlik-Solomon algebras
• Arithmetic matroids, the Tutte polynomial and toric arrangements
• Minimality of toric arrangements
• Enumeration in torus arrangements
• Cuts and flows of cell complexes
• The Tutte polynomial
• Cohomology of abelian arrangements
• A Salvetti Complex for Toric Arrangements and its Fundamental Group
• A Tutte polynomial for toric arrangements
• The multivariate arithmetic Tutte polynomial
• Volumes of Projections of unit Cubes
• Algebraic Combinatorics
• The homotopy theory of equivariant posets
• Cycle index, weight enumerator, and Tutte polynomial