It is interesting to note that Professor Witten has outlined gauge theory interpretations of Khovanov homology and the Jones polynomial, in which the Seidel-Smith space (certain symplectic manifold) is viewed as the moduli space of solutions to the Bogomolny equations.
From Gauge Theory to Khovanov Homology via Spatial refinements: Starting from the equations KW and HW, certain framed flow category which I will name "Witten category" must be constructed. Using the Cohen-Jones-Segal mechanism acting on the Witten category, certain Witten spectrum is obtained. Then, the singular homology of the Witten spectrum is precisely the Khovanov homology.
Khovanon homology , thanks for this lectures from Witten and Perelman on this platform .
It is interesting to note that Professor Witten has outlined gauge theory interpretations of Khovanov homology and the Jones polynomial, in which the Seidel-Smith space (certain symplectic manifold) is viewed as the moduli space of solutions to the Bogomolny equations.
That's what I was thinking...NOT :)
From Gauge Theory to Khovanov Homology via Spatial refinements: Starting from the equations KW and HW, certain framed flow category which I will name "Witten category" must be constructed. Using the Cohen-Jones-Segal mechanism acting on the Witten category, certain Witten spectrum is obtained. Then, the singular homology of the Witten spectrum is precisely the Khovanov homology.
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Loved it. Very enlightening!
This material is trivial. hahaha