A formula for the volume of two-bridge knots

A formula for the volume of two-bridge knots

We give a closed formula for the volume of a two-bridge knot, more precisely for its Bloch invariant. We obtain this formula without triangulating the complement: instead, we derive it from the Hopf formula for the second homology of the fundamental group of the complement and a systematic use of Fo...

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Veröffentlicht in:arXiv.org 2024-03
1. Verfasser: Marche, Julien
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Knots
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Zusammenfassung:We give a closed formula for the volume of a two-bridge knot, more precisely for its Bloch invariant. We obtain this formula without triangulating the complement: instead, we derive it from the Hopf formula for the second homology of the fundamental group of the complement and a systematic use of Fox derivatives.
ISSN:2331-8422