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Abstract
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We define a Khovanov spectrum for
–colored
links and quantum spin networks and derive some of its basic properties. In the case of
–colored
–adequate
links, we show a stabilization of the spectra as the coloring
,
generalizing the tail behavior of the colored Jones polynomial. Finally, we
also provide an alternative, simpler stabilization in the case of the colored
unknot.
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Keywords
Khovanov spectrum, Khovanov stable homotopy type, colored
Khovanov homology
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Mathematical Subject Classification 2010
Primary: 57M27, 57M25
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Publication
Received: 8 August 2016
Revised: 20 January 2017
Accepted: 28 February 2017
Published: 3 April 2018
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