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Towards a symplectic model of odd Khovanov homology

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HTLW03 - Physics and knot homologies

I will report on joint work in progress with Ivan Smith which combines ideas of Lawrence and Bigelow and Gaiotto-Witten with motivation from homological mirror symmetry to propose a symplectic construction of a pair of knot invariants which are expected to correspond to the odd and even Khovanov homologies. I will mostly focus on the only computation which is fully understood: the trivial diagram of the unknot.

This talk is part of the Isaac Newton Institute Seminar Series series.

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