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arXiv · 1709.00570

Non-contractible configuration spaces

Cesar Augusto Ipanaque Zapata
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Abstract

Let $F(M,k)$ be the configuration space of ordered $k-$tuples of distinct points in the manifold $M$. Using the Fadell-Neuwirth fibration, we prove that the configuration spaces $F(M,k)$ are never contractible, for $k\geq 2$. As applications of our results, we will calculate the LS category and topological complexity for its loop space and suspension.

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Cesar Augusto Ipanaque Zapata. 2018-08-24. Non-contractible configuration spaces. https://arxiv.org/abs/1709.00570

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