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G.Mikhalkin: MW-curves in RP3

Tid: Må 2017-02-06 kl 14.00 - 15.00

Plats: Room 16, building 5, Kräftriket, Department of Mathematics, Stockholm University

Medverkande: G.Mikhalkin, Genevé

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Abstract. Non-singular rational algebraic curves in the real projective space RP3 can be considered from the knot-theoretic viewpoint. Around 20 year ago Oleg Viro has introduced their invariant (which he called encomplexed writhe). It turns out that the topological type of maximally writhed curves (MW-curves) is unique. Furthermore, these MW-curves have a number of further special topological and geometric properties.
Joint work with Stepan Orevkov.