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arXiv · 1404.2736

Categorified sl(N) invariants of colored rational tangles

Paul Wedrich
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Abstract

We use categorical skew Howe duality to find recursion rules that compute categorified sl(N) invariants of rational tangles colored by exterior powers of the standard representation. Further, we offer a geometric interpretation of these rules which suggests a connection to Floer theory. Along the way we make progress towards two conjectures about the colored HOMFLY homology of rational links.

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BibTeXRIS

Paul Wedrich. 2014-10-16. Categorified sl(N) invariants of colored rational tangles. https://doi.org/10.2140/agt.2016.16.427

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