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arXiv · 2007.08704

On Lusternik-Schnirelmann category and topological complexity of no k-equal manifolds

Jesús González·José Luis León-Medina
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Abstract

We compute the Lusternik-Schnirelmann category and the topological complexity of no $k$-equal manifolds $M^{(k)}_d(n)$ for certain values of $d$, $k$ and $n$. This includes instances where $M^{(k)}_d(n)$ is known to be rationally non-formal. The key ingredient in our computations is the knowledge of the cohomology ring $H^*(M^{(k)}_d(n))$ as described by Dobrinskaya and Turchin. A fine tuning comes from the use of obstruction theory techniques.

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Jesús González, José Luis León-Medina. 2020-07-17. On Lusternik-Schnirelmann category and topological complexity of no k-equal manifolds. https://arxiv.org/abs/2007.08704

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