An exceptional collection for Khovanov homology

Cooper, Benjamin; Hogancamp, Matt

doi:10.2140/agt.2015.15.2659

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

An exceptional collection for Khovanov homology

Benjamin Cooper and Matt Hogancamp

Algebraic & Geometric Topology 15 (2015) 2659–2706

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.

Keywords

Jones–Wenzl projector, Temperley–Lieb, categorification

Mathematical Subject Classification 2010

Primary: 57R56

Secondary: 57M27

References

Publication

Received: 2 December 2013

Revised: 29 August 2014

Accepted: 30 November 2014

Published: 10 December 2015

Authors

Benjamin Cooper
Department of Mathematics University of Iowa 14 MacLean Hall Iowa City, 52242-1419 USA

Matt Hogancamp
Department of Mathematics Indiana University Bloomington Rawles Hall 831 E 3rd St Bloomington, IN 47405 USA

Volume 15, issue 5 (2015)