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Published online: 2016-11-30
Linearization and categorificationMikhail Khovanov (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