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Sheaves and Legendrian links

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If you have a question about this talk, please contact Adrian Dawid.

We’ll study Legendrian links in R3 or S1*R2, and see how we can describe the moduli space of “nice” sheaves (micro-)supported on these Legendrian links, that is invariant under Legendrian Reidmeister moves. We will give explicit descriptions for such moduli of sheaves for positive braid links. For 2-strand positive braid links with n-crossings, we will relate these moduli to the moduli of rank 2 “framed local systems” on the n-gon. Don’t panic- everything will be combinatorial

This talk is part of the A-side seminar series.

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