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Real algebraic knot theories
by
Oleg Viro
Stony Brook University
A classical knot may happen to be a real algebraic curve (i.e., be defined by a system of real polynomial equations). Any classical knot is isotopic to a real algebraic knot, but two real algebraic knots isotopic topologically may happen to be non-deformable to each other in the class of nonsingular real algebraic curves. Most phenomena studied in the classical knot theory have natural analogues in the theory of real algebraic knots. In the talk we will consider basic definitions of this theory, the first examples, invariants and classification results.
Date received: November 25, 2015
Copyright © 2015 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 # cblw-41.