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Disk presentations of surface-knots and -links
by
Shin Satoh
Chiba University
We introduce a new way of presenting surface-knots and -links in R4, called disk presentation. This enables us to define the disk index D(F) of a surface-knot or -link F. We prove that D(F)=2 if and only if F is a trivial S2-knot, and D(F)=3 if and only if F is a trivial non-orientable surface-knot with |e(F)| £ 3-c(F), where e(F) is the normal Euler number of F and c(F) is the Euler characteristic of F.
Date received: February 7, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # capo-25.