Jacobi sets of multiple Morse functions London Mathematical Society Lecture Note Herbert Edelsbrunner ; https://orcid.org/0000-0002-9823-6833 Harer, John The Jacobi set of two Morse functions defined on a common - manifold is the set of critical points of the restrictions of one func- tion to the level sets of the other function. Equivalently, it is the set of points where the gradients of the functions are parallel. For a generic pair of Morse functions, the Jacobi set is a smoothly embed- ded 1-manifold. We give a polynomial-time algorithm that com- putes the piecewise linear analog of the Jacobi set for functions specified at the vertices of a triangulation, and we generalize all results to more than two but at most Morse functions. Springer 2004 info:eu-repo/semantics/bookPart doc-type:bookPart text http://purl.org/coar/resource_type/c_3248 https://research-explorer.ista.ac.at/record/3575 Edelsbrunner H, Harer J. Jacobi sets of multiple Morse functions. In: <i>Foundations of Computational Mathematics</i>. Vol 312. Springer; 2004:37-57. doi:<a href="https://doi.org/10.1017/CBO9781139106962.003">10.1017/CBO9781139106962.003</a> info:eu-repo/semantics/altIdentifier/doi/10.1017/CBO9781139106962.003 info:eu-repo/semantics/closedAccess