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arXiv · 2506.07143

Groups admitting Wirtinger presentations and Gromov hyperbolic groups

Toshiyuki Akita
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Abstract

Twisted Wirtinger presentations are generalizations of the classical Wirtinger presentations of knot and link groups. In this paper, we prove that if a finitely generated group admitting a twisted Wirtinger presentation is Gromov hyperbolic, then its second rational homology group vanishes. Moreover, if the group is torsion-free, then its second integral homology group also vanishes.

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Toshiyuki Akita. 2025-06-08. Groups admitting Wirtinger presentations and Gromov hyperbolic groups. https://arxiv.org/abs/2506.07143

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