Polynomial representations of knots

DOI10.2748/tmj/1178227371zbMath0743.57006OpenAlexW2054909812MaRDI QIDQ811670

Anant R. Shastri

Publication date: 1992

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227371

zbMATH Keywords

polynomial representationsfigure eight knottrefoil knot1-dimensional knot-type in the three dimensional Euclidean spacering of polynomials in one variablering of polynomials in three variables

Mathematics Subject Classification ID

Related Items (26)

On polynomial isotopy of knot-types ⋮ Polynomial Representation of Torus Knots of type (p, q) ⋮ Minimal Degree Sequence for Torus Knots ⋮ A polynomial parametrization of torus knots ⋮ The first rational Chebyshev knots ⋮ Algebraic embeddings of \(\mathbb{C}\) into \(\mathrm{SL}_{n}(\mathbb{C})\) ⋮ The epimorphism theorem and its generalizations ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ A unified approach to embeddings of a line in 3-space ⋮ The lexicographic degree of the first two-bridge knots ⋮ Embeddings of affine spaces into quadrics ⋮ CHEBYSHEV KNOTS ⋮ Some spaces of polynomial knots ⋮ Constructing real rational knots by gluing ⋮ Triangular derivations related to problems on affine 𝑛-space ⋮ ON POLYNOMIAL TORUS KNOTS ⋮ Topologies on sets of polynomial knots and the homotopy types of the respective spaces ⋮ Knotted holomorphic discs in ⋮ MINIMAL DEGREE SEQUENCE FOR TORUS KNOTS OF TYPE (p, q) ⋮ Coordinates in two variables over a $\mathbb {Q}$-algebra ⋮ Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces ⋮ Minimal degree sequence for 2-bridge knots ⋮ Uniqueness of embeddings of the affine line into algebraic groups ⋮ On Deformations of Hyperbolic Varities ⋮ MINIMAL DEGREE SEQUENCE FOR TORUS KNOTS OF TYPE (p,2p-1) ⋮ The Nagata Type Polynomial Automorphisms and Rectifiable Space Lines

Cites Work

• Unnamed Item
• About Abhyankar's conjectures on space lines
• The extension of regular and rational embeddings
• Some results on embedding of a line in 3-space
• On finding and cancelling variables in k[X,Y,Z]
• On the embedding dimension of an affine variety

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