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SEMINARS |
Seminar on analytic theory of differential equations
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Knot invariants and Oainleve equations |
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Abstract: On the conference "Knots and Links in Fluid Flows" in IUM at one talk the following result was formulated. A HOMFLY invariant of a toric knot I am going to tell about invariants of knots that come from four-dimensiona manifolds. Actually the invariants of manifolds can be organized into formal solutions of PDE. In particulat I'll explain how to a symplectic four-dimensional manifold there corresponds a solution of WDVV. And among reductions of these equations there are Painleve and Kdf equations |