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arXiv · 1008.5084

Categorifications from planar diagrammatics

Mikhail Khovanov
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Abstract

A diagrammatic presentation of functors and natural transformations and the virtues of biadjointness are discussed. We then review a graphical description of the category of Soergel bimodules and a diagrammatic categorification of positive halves of quantum groups. These notes are a write-up of Takagi lectures given by the author in Hokkaido University in June 2009.

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Mikhail Khovanov. 2010-08-30. Categorifications from planar diagrammatics. https://arxiv.org/abs/1008.5084

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