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Portugaliae Mathematica


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Volume 73, Issue 4, 2016, pp. 319–335
DOI: 10.4171/PM/1989

Published online: 2016-11-30

Linearization and categorification

Mikhail Khovanov[1]

(1) Columbia University, New York, USA

We discuss the notion of linearization through examples, which include the Price map, PageRank, representation theory, the Euler characteristic and quantum link invariants. We also review categorification, which adds an additional layer of structure, in the context of the last two examples.

Keywords: Linearization, categorification, Jones polynomial, link homology

Khovanov Mikhail: Linearization and categorification. Port. Math. 73 (2016), 319-335. doi: 10.4171/PM/1989