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Session Knot Theory
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A singular braid view to knotted surfaces |
Michał Jabłonowski, University of Gdańsk, Poland
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In this talk we describe knotted surfaces in the four space as
elements of defined monoid with four types of generators: two
classical braid generators and two of singular braid types. We
present local and global relations on words that do not change a
corresponding knotted surface type. Those new relations already
appear to be useful: in a quest of a classification of twist-spun
knots, and in a construction of classical diagrams realizing some
minimal number of Reidemeister III moves required to connect them.
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