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| A Theory of Orbit Braids* |
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Citation： |
Fengling LI,Hao LI,Zhi L¨U.A Theory of Orbit Braids*[J].Chinese Annals of Mathematics B,2023,44(2):165~192 |
| Page view： 1093
Net amount： 573 |
Authors： |
Fengling LI; Hao LI;Zhi L¨U |
Foundation： |
National Natural Science Foundation of China (No. 11971112). |
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| Abstract： |
In this paper, the authors systematically discuss orbit braids in M × I with regards to orbit configuration space FG(M, n), where M 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 FG(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 Zp and (Z2)2. |
Keywords： |
Orbit braid, Orbit configuration space |
Classification： |
20F36, 55Q05 |
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