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A cohomological property of Lagrange multipliers

Alan Adolphson·Steven Sperber
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Abstract

The method of Lagrange multipliers relates the critical points of a given function f to the critical points of an auxiliary function F. We establish a cohomological relationship between f and F and use it, in conjunction with the Eagon-Northcott complex, to compute the sum of the Milnor numbers of the critical points in certain situations.

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Alan Adolphson, Steven Sperber. 1999-10-05. A cohomological property of Lagrange multipliers. https://arxiv.org/abs/math/9910023

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