Takis Sakkalis, "The computation of the index of a Morse function at a critical point", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 895192, 6 pages, 1988. https://doi.org/10.1155/S0161171288000870
The computation of the index of a Morse function at a critical point
A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurface is given. As a consequence the Euler characteristic of is computed. In the case where the hypersurface is polynomial and compact, a procedure is given that finds a linear function , whose restriction , is a Morse function on .
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