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We obtain formulas that give the geometric intersection numbers between multiple curves and elementary curves, which are particular types of multiple curves, on the punctured torus with boundary by using… Click to show full abstract
We obtain formulas that give the geometric intersection numbers between multiple curves and elementary curves, which are particular types of multiple curves, on the punctured torus with boundary by using Dynnikov coordinates. To do this, we first determine what the elementary curves on this surface are, and then find separately the formulas that give the number of geometric intersections of multiple curves with each elementary curve.
Keywords:
numbers multiple;
elementary curves;
intersection numbers;
geometric intersection;
punctured torus;
curves punctured
Journal Title: Filomat
Year Published: 2022
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!