Categorifications from planar diagrammatics
By Mikhail Khovanov. 2010
53 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/51e25be3d841d97695ec22af1e21789b50751a28
How researchers see this paper
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In Algebra and Number Theory
- Anthony M. Licata
- Alistair Savage
- Mikhail Khovanov
- Aaron D. Lauda
- Ben Webster
- C. Stroppel
- Sabin Cautis
- David E. V. Rose
In Geometry and Topology
- Anthony M. Licata
- Alistair Savage
- Mikhail Khovanov
- Aaron D. Lauda
- David E. V. Rose
- Sabin Cautis
- Hoel Queffelec
- Joel Kamnitzer
In Mathematical Physics
- Anthony M. Licata
- Alistair Savage
- Mikhail Khovanov
- Aaron D. Lauda
- David E. V. Rose
- Sabin Cautis
- Hoel Queffelec
- Joel Kamnitzer
Citations in the corpus
- Erratum to: Hecke algebras, finite general linear groups, and Heisenberg categorification (2011, background): “We refer the reader to [10] for an overview of the type of diagrammatic presentation of functors, natural transformations, and biadjointness we use here.”
- Heisenberg algebra and a graphical calculus (2010, background): “Biadjoint functors appear throughout categorification and TQFTs, see discussions in [21, Section 5], [22] and references therein, also [6].”