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math.DG2022
Caustics of light rays and Euler's angle of inclination
Sergiy Koshkin, Ivan Rocha
Euler used intrinsic equations expressing the radius of curvature as a function of the angle of inclination to find curves similar to their evolutes. We interpret the evolute of a…
math.DG2005
Conormal bundles to knots and the Gopakumar-Vafa conjecture
Sergiy Koshkin
We offer a new construction of Lagrangian submanifolds for the Gopakumar-Vafa conjecture relating the Chern-Simons theory on the 3-sphere and the Gromov-Witten theory on the resolv…