The integral polytope group

DOI10.1515/advgeom-2019-0029zbMath1475.52021arXiv1605.01217OpenAlexW2974453316WikidataQ127174378 ScholiaQ127174378MaRDI QIDQ2664122

Florian Funke

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01217

zbMATH Keywords

Grothendieck groupMinkowski sumintegral polytope

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Cites Work

• Reidemeister torsion, the Thurston norm and Harvey's invariants
• The polytope algebra
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
• Noncommutative knot theory
• Non-commutative multivariable Reidemester torsion and the Thurston norm
• Discriminants, resultants, and multidimensional determinants
• Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Polytopes, Rings, and K-Theory
• Universal L2-torsion, polytopes and applications to 3-manifolds
• Monotonicity of degrees of generalized Alexander polynomials of groups and 3-manifolds
• The Grothendieck group of polytopes and norms
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