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arXiv · 2405.07398

The positive fundamental group of ${\rm Sp}(2n)$

Jian Wang·Qinglong Zhou
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Abstract

In this paper, we examine the homotopy classes of positive loops in ${\rm Sp}(2n)$. We demonstrate that two positive loops are homotopic if and only if they are homotopic through positive loops. As consequences, we can extend several results of McDuff \cite{McD} and Chance \cite{Cha} to higher dimensional symplectic manifolds without dimensional restrictions.

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Jian Wang, Qinglong Zhou. 2024-05-12. The positive fundamental group of ${\rm Sp}(2n)$. https://arxiv.org/abs/2405.07398

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