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Linking number obstructions to satellite homomorphisms

  • Tye Lidman

    North Carolina State University, Raleigh, USA

  • Allison N. Miller

    Swarthmore College, Swarthmore, USA

  • Juanita Pinzón-Caicedo

    University of Notre Dame, Notre Dame, USA
Linking number obstructions to satellite homomorphisms cover
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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 -invariants of branched covers. In the process, we prove a technical result relating -invariants and the Torelli group which may be of independent interest.

Cite this article

Tye Lidman, Allison N. Miller, Juanita Pinzón-Caicedo, Linking number obstructions to satellite homomorphisms. Quantum Topol. (2024), published online first

DOI 10.4171/QT/220