Examples of homological torsion and volume growth

DOI10.1007/s40306-020-00412-zzbMath1479.57042arXiv1901.07494OpenAlexW3161484908MaRDI QIDQ2043337

Ilya Kofman, Abhijit Champanerkar

Publication date: 30 July 2021

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07494

zbMATH Keywords

Mahler measureAlexander polynomialhyperbolic volumehomological torsionbiperiodic link

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Unnamed Item
• Determinant density and biperiodic alternating links
• Exponential growth of torsion in abelian coverings
• Homology torsion growth and Mahler measure
• Approximating \(L^2\)-invariants by their classical counterparts
• Mahler measure, links and homology growth
• All principal congruence link groups
• Dimers and amoebae
• 3-manifold groups
• Geometrically and diagrammatically maximal knots
• Spanning trees on graphs and lattices inddimensions
• Growth of homology torsion in finite coverings and hyperbolic volume
• Geometry of biperiodic alternating links
• Mahler measure and the Vol‐Det Conjecture
• Asymptotic Enumeration of Spanning Trees

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