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Chord diagrams: framings, operations and mapsтезисы доклада
- Автор: Denis Ilyutko
- Сборник: XIX Geometrical Seminar, Zlatibor, August 28 - September 4 2016, Book of abstracts
- Тезисы
- Год издания: 2016
- Место издания: University of Belgrade Belgrade, Serbia
- Первая страница: 34
- Последняя страница: 34
- Аннотация: In the talk we consider chord diagrams, i.e. a circle with a set of chords. Chord diagrams are very useful in knot theory and in the theory of embedding of curves. It is well known that chord diagrams modulo 4T-relations admit a Hopf algebra structure, where the multiplication is given by a connected sum, but in the case of framed chord diagrams the situation is different. To show what happens in the case of framed chord diagrams we present invariants (modulo 4T-relations) and maps on framed chord diagrams. Also we touch the case of linear diagrams, i.e. instead of the circle we have a line.
- Добавил в систему: Ильютко Денис Петрович