sirocco

This is a library for computing homotopy continuation of a given root of one dimensional sections of bivariate complex polynomials. The output is a piecewise linear approximation of the path followed by the root, with the property that there is a tubular neighborhood, with square transversal section, that contains the actual path, and there is a three times thicker tubular neighborhood guaranteed to contain no other root of the polynomial. This second property ensures that the piecewise linear approximation computed from all roots of a polynomial form a topologically correct deformation of the actual braid, since the inner tubular neighborhoods cannot intersect.

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