Abstract |
Abstract: The configuration spaces are naturally appear in the different branches of mathematics for example Algebraic geometry, Algebraic and Geometric topology. The ordered configuration spaces of topological space is defined as the space of k particles moving in the topological space without collision. The symmetric group acts naturally on the ordered configuration spaces by permitting the coordinate. The orbit spaces is called unordered configuration spaces of topological space. In this talk, I will discuss the homology of configuration spaces of usual spheres.
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