A deformation of the Alexander polynomials of knots yielding lens spaces

DOI10.1017/S0004972700038995zbMath1166.57007OpenAlexW2168764676MaRDI QIDQ3435376

Yuichi Yamada, Teruhisa Kadokami

Publication date: 26 April 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038995

zbMATH Keywords

Reidemeister torsionAlexander polynomialsurgery

Mathematics Subject Classification ID

Related Items (6)

Reidemeister torsion and Lens surgeries on knots in homology 3-spheres. I ⋮ Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery ⋮ Reidemeister torsion and Lens surgeries on knots in homology 3-spheres. II ⋮ On the Alexander polynomial of lens space knots ⋮ LENS SPACE SURGERIES ALONG CERTAIN 2-COMPONENT LINKS RELATED WITH PARK’S RATIONAL BLOW DOWN, AND REIDEMEISTER-TURAEV TORSION ⋮ Alexander polynomials of doubly primitive knots

Cites Work

• Unnamed Item
• Unnamed Item
• Mahler measure, links and homology growth
• A duality theorem for Reidemeister torsion
• Constructing lens spaces by surgery on knots
• Factorization of certain cyclotomic functions
• Torsions of 3-dimensional manifolds
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• The knots in \(D^ 2\times S^ 1\) which have nontrivial Dehn surgeries that yield \(D^ 2\times S^ 1\)
• Elementary surgery along a torus knot
• On knot Floer homology and lens space surgeries
• Growth of order of Homology of Cyclic Branched Covers of Knots
• Alexander polynomials of doubly primitive knots
• Reidemeister torsion in knot theory
• The Lehmer Polynomial and Pretzel Links
• BERGE'S KNOTS IN THE FIBER SURFACES OF GENUS ONE, LENS SPACE AND FRAMED LINKS

This page was built for publication: A deformation of the Alexander polynomials of knots yielding lens spaces