Abstract

In this paper, an expression for the Homfly polynomial of a classical pretzel link with a fixed orientation was obtained. As an application, we proved that a (p, q, r)-pretzel knot is achiral if and only if {p, q, r} = {2, 1, 1}, {-2, -1, -1}, {2, -1, 3}, {-2, 1, -3}, {1, -1, k}, {1, k, -2 -k} or {-1, -k, 2 + k}, where k is an odd integer.

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