Linearization and categorification

  • Mikhail Khovanov

    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.

Cite this article

Mikhail Khovanov, Linearization and categorification. Port. Math. 73 (2016), no. 4, pp. 319–335

DOI 10.4171/PM/1989