A Theory of Orbit Braids
A Theory of Orbit Braids
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DOI：
10.1007/s11401-023-0009-x
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Lu Zhi
中科院分区：
文献类型：
--
作者：
Li Fengling;Li Hao;Lu Zhi
In this paper,the authors systematically discuss orbit braids in M × I with regards to orbit configuration space FG(M,n),whereM is a connected topological manifold of dimension at least 2 with an effective action of a finite group G.These orbit braids form a group,named orbit braid group,which enriches the theory of ordinary braids.The authors analyze the substantial relations among various braid groups associated to those configuration spaces F_G(M,n),F(M/G,n) and F(M,n).They also consider the presentations of orbit braid groups in terms of orbit braids as generators by choosing M = C with typical actions of Z_p and (Z_2)~2.
