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A Levine–Tristram invariant for knotted tori

Daniel Ruberman

Algebraic & Geometric Topology 22 (2022) 2395–2418
Abstract

We define a new topological invariant of an embedded torus in a homology S1 × S3, analogous to the Levine–Tristram invariant of a knot. We compare it to an invariant of smooth tori, defined recently by Echeverria using gauge theory for singular connections.

Keywords
4-manifold, knotted torus, Levine–Tristram invariant
Mathematical Subject Classification
Primary: 57K41, 57K45
References
Publication
Received: 12 October 2020
Revised: 13 March 2021
Accepted: 3 May 2021
Published: 25 October 2022
Authors
Daniel Ruberman
Department of Mathematics
Brandeis University
Waltham, MA
United States