Categorifications from planar diagrammatics
Quantum Algebra
2010-08-31 v1 Representation Theory
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.
Cite
@article{arxiv.1008.5084,
title = {Categorifications from planar diagrammatics},
author = {Mikhail Khovanov},
journal= {arXiv preprint arXiv:1008.5084},
year = {2010}
}
Comments
30 pages, latex, eps