Work

Rasmussen invariants of Whitehead doubles and other satellites

Year: 2024

Type: article

Abstract: We prove formulae for the F 2 \mathbb{F}_{2} -Rasmussen invariant of satellite knots of patterns with wrapping number 2, using the multicurve technology for Khovanov and Bar-Natan homology developed by Kotelskiy, Watson, and the second author. A new concordance homomorphism, which is independent of the Rasmussen invariant, plays a central role in these formulae. We also explore whether similar formulae hold for the Ozsváth–Szabó invariant 𝜏.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2024-0061

Authors: Lukas Lewark, Claudius Zibrowius

Institutions: ETH Zurich, Ruhr University Bochum

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,489

Funders: Deutsche Forschungsgemeinschaft, Universität Regensburg