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CONSTRUCTION OF INVARIANTS OF CURVES AND FRONTS USING WORD THEORY

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Publication:3164494
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DOI10.1142/S0218216510008406zbMath1207.57028OpenAlexW2024477184MaRDI QIDQ3164494

Noboru Ito

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1142/s0218216510008406


zbMATH Keywords

plane curvefrontnanowordsArnold's basic invariants


Mathematics Subject Classification ID

General low-dimensional topology (57M99)


Related Items (3)

New invariants of Legendrian knots ⋮ Strong and weak \((1,3)\) homotopies on knot projections ⋮ An interpretation of multi-component curves and links in terms of single component words



Cites Work

  • Lectures on topology of words
  • Invariants of curves and fronts via Gauss diagrams
  • Curves on surfaces, charts, and words
  • INVARIANT POLYNOMIAL OF FRAMED KNOTS IN THE SOLID TORUS AND ITS APPLICATION TO WAVE FRONTS AND LEGENDRIAN KNOTS
  • COBORDISMS OF WORDS
  • THE BASIC INVARIANTS OF LONG CURVE AND CLOSED CURVE PERESTROIKAS
  • Topology of words
  • Arnold-type invariants of wave fronts on surfaces




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