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Strong S-equivalence of ordered links
Geometry/Topology| Speaker: | Carol Gee, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Oct 13 2004, 4:10PM |
Description
We will explore the relationship between S-equivalence of
links (an algebraic equivalence relation) and the doubled-delta move (a
geometric move on the link diagrams). Although Naik-Stanford proved
that S-equivalence is generated by the doubled-delta move for knots, the
case of links requires a stronger condition. This motivates our
definition of Strong S-equivalence. We will examine the relationship
between Strong S-equivalence and the doubled-delta move, as well as
discuss connections to the emerging field of clasper surgery. This talk
should be accessible to a general math audience.