Integer hulls of linear polyhedra and scl in families

DOI10.1090/S0002-9947-2013-05775-3zbMath1300.11100arXiv1011.1455MaRDI QIDQ2847189

Alden Walker, Danny Calegari

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1455

zbMATH Keywords

quasipolynomial coordinatesstable commutator length of elements in a surgery family

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

Related Items (10)

Scl in free products ⋮ Stable commutator length in amalgamated free products ⋮ A Plethora of Polynomials: A Toolbox for Counting Problems ⋮ The unreasonable ubiquitousness of quasi-polynomials ⋮ A Parametric Version of LLL and Some Consequences: Parametric Shortest and Closest Vector Problems ⋮ Recurrent sequences of polynomials in three-dimensional topology ⋮ Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior ⋮ Scl in graphs of groups ⋮ Parametrizing an Integer Linear Program by an Integer ⋮ The parametric Frobenius problem

Uses Software

• Qhull
• sss
• scabble

Cites Work

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• The degree of a \(q\)-holonomic sequence is a quadratic quasi-polynomial
• Integer points in polyhedra
• The sutured Floer homology polytope
• scl.
• A closer look at lattice points in rational simplices
• Plane curves associated to character varieties of 3-manifolds
• Variation of cost functions in integer programming
• Surface subgroups from linear programming
• Moduli spaces of local systems and higher Teichmüller theory
• Scl, sails, and surgery
• Integer Programming with a Fixed Number of Variables
• Computing the Continuous Discretely
• On the geometry and dynamics of diffeomorphisms of surfaces
• The quickhull algorithm for convex hulls
• Generalized Ehrhart polynomials

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