Семинар за геометрију, образовање и визуализацију са применама, 11. април 2013.

• 08. Април, 2013
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Наредни састанак Семинара биће одржан у четвртак, 11. априла 2013, у 17 часова у сали 301ф, МИ САНУ.

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

Наслов предавања: From knots to braids in various topological settings

Садржај: 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.