Linking number obstructions to satellite homomorphisms

Tye Lidman; Allison N. Miller; Juanita Pinzón-Caicedo

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arXiv · 2207.14198

Linking number obstructions to satellite homomorphisms

Tye Lidman·Allison N. Miller·Juanita Pinzón-Caicedo

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Abstract

We prove that satellite operations that satisfy a certain positivity condition and have winding number other than one are not homomorphisms. The argument uses the $d$-invariants of branched covers. In the process, we prove a technical result relating $d$-invariants and the Torelli group which may be of independent interest.

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BibTeX RIS

Tye Lidman, Allison N. Miller, Juanita Pinzón-Caicedo. 2022-07-28. Linking number obstructions to satellite homomorphisms. https://arxiv.org/abs/2207.14198

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