Geometric intersections of loops on surfaces

Geometric intersections of loops on surfaces

Based on Nielsen fixed point theory and Gröbner-Shirshov basis, we obtain a simple approach to compute geometric intersection numbers and self-intersection geometric numbers of loops on surfaces.

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Veröffentlicht in:Topology and its applications 2022-08, Vol.318, p.108205, Article 108205
Hauptverfasser: Gu, Ying, Zhao, Xuezhi
Format: Artikel
Sprache:eng
Schlagworte:
Geometric intersections
Gröbner-Shirshov basis
Loops on surfaces
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Zusammenfassung:Based on Nielsen fixed point theory and Gröbner-Shirshov basis, we obtain a simple approach to compute geometric intersection numbers and self-intersection geometric numbers of loops on surfaces.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2022.108205