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Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces

Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces

The aim of this work is to extend the results of S. Nayatani about the index and the nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces for values of the genus bigger than 37.That allows us to state that these minimal surfaces are non degenerate for all the values …