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Abstract
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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.
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Keywords
augmentation, link, framed cord algebra
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57R17
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Publication
Received: 26 September 2019
Revised: 1 September 2020
Accepted: 9 October 2020
Published: 22 November 2021
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