On the pure virtual braid group $PV 3$ - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: In this article, we investigate various properties of the pure virtual braidgroup PV 3. From its canonical presentation, we obtain a free productdecomposition of PV 3. As a consequence, we show that PV 3 is residuallytorsion free nilpotent, which implies that the set of finite type invariants inthe sense of Goussarov-Polyak-Viro is complete for virtual pure braids withthree strands. Moreover we prove that the presentation of PV 3 is aspherical.Finally we determine the cohomology ring and the associated graded Lie algebraof PV 3.



Author: V. G. Bardakov, R. Mikhailov, V.V. Vershinin, J. Wu

Source: https://arxiv.org/







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