The groups $Sp(4n+1)$ and $Spin(8n-2)$ as framed manifolds

Haruo Minami

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arXiv · 2503.13748

The groups $Sp(4n+1)$ and $Spin(8n-2)$ as framed manifolds

Haruo Minami

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Abstract

We consider a compact Lie group as a framed manifold equipped with the left invarianat framing $\mathscr{L}$. In a previous paper we have proved that the Adams $e_\mathbb{C}$-invariant value of $SU(2n)$ $(n\ge 2)$ gives a generator of the image of $e_\mathbb{C}$ by twisting $\mathscr{L}$ by a certain map. In this note we show that in a similar way we can obtain analogous results for $Sp(4n+1)$ and $Spin(8n-2)$ $(n\ge 1)$.

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BibTeX RIS

Haruo Minami. 2025-03-17. The groups $Sp(4n+1)$ and $Spin(8n-2)$ as framed manifolds. https://arxiv.org/abs/2503.13748

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