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arXiv · 2310.00449

An upper bound for the rational topological complexity of a family of elliptic spaces

Said Hamoun·Youssef Rami·Lucile Vandembroucq
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Abstract

In this work, we show that, for any simply-connected elliptic space $S$ admitting a pure minimal Sullivan model with a differential of constant length, we have ${\rm TC}_0(S)\leq 2{\rm cat}_0(S)+\chi_{\pi}(S)$ where $\chi_{\pi}(S)$ is the homotopy characteristic. This is a consequence of a structure theorem for this type of models, which is actually our main result.

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Said Hamoun, Youssef Rami, Lucile Vandembroucq. 2023-09-30. An upper bound for the rational topological complexity of a family of elliptic spaces. https://arxiv.org/abs/2310.00449

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