Generalized Tonnetz and discrete Abel-Jacobi map

DOI10.12775/TMNA.2020.049zbMath1492.57015arXiv2002.09184MaRDI QIDQ2240532

Rade T. Živaljević, Filip D. Jevtić

Publication date: 4 November 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09184

zbMATH Keywords

polyhedral combinatoricstriangulated manifoldsdiscrete Abel-Jacobi mapgeneralized Tonnetzpermutohedral latticesimplical complexes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Triangulating manifolds (57Q15) Jacobians, Prym varieties (14H40) Polyhedral manifolds (52B70) Mathematics and music (00A65)

Cites Work

• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Lecture on topological crystallography
• Lattice-based high-dimensional Gaussian filtering and the permutohedral lattice
• The Geometry of Musical Chords
• GeneralizedTonnetze
• Musical Actions of Dihedral Groups
• Lectures on Polytopes
• Topological Crystallography
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