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Open Problems in Billiard Knots
by
Michael A. Veve
George Washington University
While mathematical billiards have been studied quite extensively for many years the same cannot be said for billiard knots. Billiard knots are a special type mathematical billiard, namely, periodic trajectories without self-intersections inside some billiard room (a billiard room is 3-manifold inside R3 with a piecewise smooth boundary). As the terminology suggests, the study of billiard knots is primarily concerned with how the periodic orbit is knotted inside the 3-mainfold. We discuss some open problems concerning billiard knots and report on some of the progress made in solving these problems.
Date received: January 20, 2000
Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-13.