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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Constructing Surface Knots
by
Tsukasa Yashiro
University of Auckland

An embedded surface in 4-space is called a surface knot. A projected surface knot in 3-space is called a surface diagram. Recently, geometric approaches to this area have been developed. In this talk we will introduce geometric invariants of surface knots and demonstrate a construction of classes of non-trivial 2-knot diagrams from the sphere in 3-space.

Date received: June 17, 2002

Copyright © 2002 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 Conferences Inc. Document # cait-47.