FACTORIZATION FORMULAS AND COMPUTATIONS OF HIGHER-ORDER ALEXANDER INVARIANTS FOR HOMOLOGICALLY FIBERED KNOTS

DOI10.1142/S0218216511009303zbMath1236.57013arXiv1004.3326OpenAlexW2962982047MaRDI QIDQ3102981

Takuya Sakasai, Hiroshi Goda

Publication date: 25 November 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3326

zbMATH Keywords

Reidemeister torsionhomology cylinderhomologically fibered knotMagnus representation

Mathematics Subject Classification ID

Related Items (5)

Twisted Alexander invariants of knot group representations. II: Computation and duality ⋮ Twisted Alexander invariants of knot group representations ⋮ Homology cylinders and sutured manifolds for homologically fibered knots ⋮ Heegaard presentations and Milnor pairings of some knots ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces

Cites Work

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• THE GASSNER REPRESENTATION FOR STRING LINKS
• The cobordism group of homology cylinders
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• Finite type invariants and n-equivalence of 3-manifolds
• Non-commutative Reidemeister torsion and Morse-Novikov theory
• Monotonicity of degrees of generalized Alexander polynomials of groups and 3-manifolds
• Whitehead torsion
• Foliations and the topology of 3-manifolds
• Homology cylinders: an enlargement of the mapping class group

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