An invariant of tangle cobordisms via subquotients of arc rings

Abstract

We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).

arXiv comment25 pages, 21 eps figures, Typos corrected, Figure 6 replaced

References in corpus (4)

• Khovanov's homology for tangles and cobordisms
• A functor-valued invariant of tangles
• TQFT with corners and tilting functors in the Kac-Moody case
• Categorification of level two representations of quantum sl(N) via generalized arc rings

Cited by in corpus (9)

• 2-block Springer fibers: convolution algebras and coherent sheaves
• An odd categorification of quantum sl(2)
• Highest weight categories arising from Khovanov's diagram algebra III: category O
• sl(N)-Web categories
• Oddification of the cohomology of type A Springer varieties
• The sl(N)-web algebras and dual canonical bases
• Categorification of level two representations of quantum sl(N) via generalized arc rings
• On Khovanov-Seidel quiver algebras and bordered Floer homology
• Sutured Khovanov homology, Hochschild homology, and the Ozsvath-Szabo spectral sequence