A Categorification of One-Variable Polynomials

We develop a diagrammatic categorification of the polynomial ring $\mathbb{Z} [x]$, based on a geometrically-defined graded algebra and show how to lift various operations on polynomials to the categorified setting. Our categorification satisfies a version of the Bernstein-Gelfand-Gelfand reciprocit...

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Detalhes bibliográficos
Main Authors: Mikhail Khovanov, Radmila Sazdanovic
Formato: Artigo
Idioma:English
Publicado em: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Colecção:Discrete Mathematics & Theoretical Computer Science
Assuntos:
Acesso em linha:https://dmtcs.episciences.org/2468/pdf