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Homotopy of Knots and the Alexander Polynomial

  Published:1999-09-01
 Printed: Sep 1999
Canadian Mathematical Bulletin
  • David Austin
  • Dale Rolfsen
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Abstract

Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.
MSC Classifications: 57N10, 57M05, 57M25, 57N65 show english descriptions Topology of general $3$-manifolds [See also 57Mxx]
Fundamental group, presentations, free differential calculus
Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Algebraic topology of manifolds 57N10 - Topology of general $3$-manifolds [See also 57Mxx]
57M05 - Fundamental group, presentations, free differential calculus
57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
57N65 - Algebraic topology of manifolds
 
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