Seminar za geometriju, obrazovanje i vizualizaciju sa primenama, 11. april 2013.

Naredni sastanak Seminara biće održan u četvrtak, 11. aprila 2013, u 17 časova u sali 301f, MI SANU.

Predavač: Sofia Lambropoulou, National Technical University of Athens, Department of Mathematics

Naslov predavanja: From knots to braids in various topological settings

Sadržaj: In this talk we present the L-moves between braids, which can serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as: for classical knots, for knots in knot complements, in c.c.o. 3-manifolds and in handlebodies, as well as for virtual knots, for welded knots and for singular knots. The L-moves are local and they provide a uniform ground for formulating and proving geometric braid equivalence theorems by adapting to any diagrammatic setting where the notion of braid and diagrammatic isotopy is defined. The L-move equivalences are then reformulated gradually from geometric to algebraic using the braid groups related to each topological setting.



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