Minimal slN Complexes of Rational Tangles via the Fukaya Category
Jonathan A. Higgins
Abstract
We compute minimal slN complexes for oriented rational tangles, denoted [\![τu/vO]\!]N, in terms of the topological Fukaya category of the 3-punctured disk. This demonstrates that the complexes stabilize, allowing us to define a HOMFLY-PT homology for rational tangles.
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