Definition of the cord algebra of knots using Morse Theory

Published 29 Apr 2019 in math.SG and math.GT | (1904.12714v1)

Abstract: We redefine the cord algebra, which was introduced by Lenhard Ng as a topological knot invariant, in terms of Morse Theory. The determination of the cord algebra of the unknot and of the righthanded trefoil are given. We proove that the cord algebra in our definition is a knot invariant.

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Andreas Petrak

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