New groups and invariants of classical braids valued in G_n²

2018/01/22 by Manturov, Vassily Olegovich
#57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1801.07007

Abstract

The aim of the present note is to enhance groups G_n³ and to construct new invariants of classical braids. In particular, we construct invariants valued in G_N² groups. In groups G_n², the identity problem is solved, besides, their structure is much simpler than that of G_n³. I am grateful to Huyue Yan for pointing out a small mistake in the previous version.

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