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Orthogonal Surfaces in Four and More Dimensions
by
Stefan Felsner
TU Berlin
Coauthors: Sarah Renkl
Orthogonal surfaces in 3-D are quite well understood. Mild nondegeneracy conditions allow to set them in correspondence to Schnyder woods and 3-connected planar graphs.
In higher dimensions the orthogonal surfaces with a generator set in general position are in a similar correspondence to simplicial polytopes.
Our aim is to understand larger classes of orthogonal surfaces. Some progress and some related problems are the topic of this talk.
Date received: March 21, 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 # caqi-77.