A new formula for winding number

DOI10.1007/BF01264913zbMath0780.53004MaRDI QIDQ1801627

Margaret McIntyre, Grant Cairns

Publication date: 2 February 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Euler characteristiccurveswinding numberorientable surfaces

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (6)

Bounding immersed curves ⋮ Ising model observables and non-backtracking walks ⋮ The conjugate locus on convex surfaces ⋮ Whitney's formulas for curves on surfaces ⋮ The normal map as a vector field ⋮ Alexander numbering of knotted surface diagrams

Cites Work

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• The winding number on two-manifolds
• Winding number and isotopies for closed curves on \(S^ 2\)
• Algorithms for Jordan curves on compact surfaces
• Further remarks on the winding number
• Rotation and Winding Numbers for Planar Polygons and Curves
• Regular Curves on Riemannian Manifolds
• A Generalization of Winding Number Functions on Surfaces

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