Categorification of level two representations of quantum <var>sl</var><var>n</var> via generalized arc rings

Yanfeng Chen

doi:10.4171/qt/21

JournalsqtVol. 2, No. 3pp. 241–267

Categorification of level two representations of quantum <var>sl</var><var>n</var> via generalized arc rings

Yanfeng Chen
UC Berkeley

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Abstract

In this paper we construct an extension of the arc ring $H^{n}$ introduced by Khovanov [4], and use it to categorify level two representations of $U_{q} (s l_{N})$ . These rings also induce invariants of tangle

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Yanfeng Chen, Categorification of level two representations of quantum <var>sl</var><var>n</var> via generalized arc rings. Quantum Topol. 2 (2011), no. 3, pp. 241–267

DOI 10.4171/QT/21