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A bipolynomial is a holomorphic mapping of a sphere onto a sphere such that some point on
the target sphere has exactly two preimages. The topological invariants of spaces of
bipolynomials without multiple roots are connected with characteristic classes of
rational functions with two poles and generalized braid groups associated to extended
affine Weyl groups of the serie . We prove that the cohomology rings of the spaces of
bipolynomials of bidegree stabilize as tends to infinity and that...
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