Journal article
An exceptional collection for Khovanov homology
Algebraic & geometric topology, Vol.15(5), pp.2659-2707
01/01/2015
DOI: 10.2140/agt.2015.15.2659
Abstract
The Temperley-Lieb algebra is a fundamental component of SU(2) topological quantum field theories. We construct chain complexes corresponding to minimal idempotents in the Temperley-Lieb algebra. Our results apply to the framework which determines Khovanov homology. Consequences of our work include semi-orthogonal decompositions of categorifications of Temperley-Lieb algebras and Postnikov decompositions of all Khovanov tangle invariants.
Details
- Title: Subtitle
- An exceptional collection for Khovanov homology
- Creators
- Benjamin Cooper - University of IowaMatt Hogancamp - Indiana University
- Resource Type
- Journal article
- Publication Details
- Algebraic & geometric topology, Vol.15(5), pp.2659-2707
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- DOI
- 10.2140/agt.2015.15.2659
- ISSN
- 1472-2739
- eISSN
- 1472-2739
- Number of pages
- 49
- Grant note
- Max Planck Institute for Mathematics in Bonn; Max Planck Society
- Language
- English
- Date published
- 01/01/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984240764102771
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