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

Authors: Filippo Morabito

Issue: Volume 58 (2009), Issue 2, 677-708

Abstract: 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 of the genus in the sense of the definition of J. P\'erez and A. Ros.