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arXiv · 2203.16830

The minimal dimension of a sphere with an equivariant embedding of the bouquet of $g$ circles is $2g-1$

Zhongzi Wang
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Abstract

To embed the bouquet of $g$ circles $B_g$ into the $n$-sphere $S^n$ so that its full symmetry group action extends to an orthogonal actions on $S^n$, the minimal $n$ is $2g-1$. This answers a question raised by B. Zimmermann.

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Zhongzi Wang. 2022-03-31. The minimal dimension of a sphere with an equivariant embedding of the bouquet of $g$ circles is $2g-1$. https://doi.org/10.1007/s00454-021-00300-9

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