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Augmentations and link group representations

Honghao Gao
Algebraic & Geometric Topology 21 (2021) 2857–2898
DOI: 10.2140/agt.2021.21.2857
Abstract

We construct the augmentation representation. It is a representation of the fundamental group of the link complement associated to an augmentation of the framed cord algebra. This construction connects representations of two link invariants of different types. We also study properties of the augmentation representation.

Keywords
augmentation, link, framed cord algebra
Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57R17
References
Publication
Received: 26 September 2019
Revised: 1 September 2020
Accepted: 9 October 2020
Published: 22 November 2021
Authors
Honghao Gao
Department of Mathematics
Michigan State University
East Lansing, MI
United States