Work

Linking number obstructions to satellite homomorphisms

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2207.14198

Authors: Lidman, Tye, Miller, Allison N., Pinzón-Caicedo, Juanita

Institution: North Carolina State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Dehn Surgery, Four-Manifolds, and Symplectic Topology, PostDoctoral Research Fellowship, Lagrangians and Low-Dimensional Topology

OpenAlex ID: W4288804557

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