Categorifications from planar diagrammatics

Details Categorifications from planar diagrammatics Categorifications from planar diagrammatics

2010-08-30

arxiv.org/abs/1008.5084v1

Mathematics

Quantum Algebra

30 pages, latex, eps

Scientific paper

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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