Jean Cerf

Jean Cerf (* 1928 ) is a French mathematician who studies topology .

Cerf studied at the École normal supérieure and did his doctorate with Henri Cartan . He was then maître de conférences at the University of Lille and then professor at the Faculté de Science in Orsay . He was also director of research at the CNRS .

Cerf worked on differential topology and symplectic topology. In the Cerf theory named after him, 1-parametric families of continuous functions on manifolds are considered in the differential topology, which generalize Morse functions . With this, Cerf showed that diffeomorphisms of the 3-sphere are isotopic to isometries of the 3-sphere. The theory is also used in Robion Kirby's Kirby calculus .

In 1966 he was invited speaker at the International Congress of Mathematicians in Moscow ( Isotopie et Pseudo-Isotopie ). The topologist François Laudenbach is one of his doctoral students . In 1971 he was President of the Société Mathématique de France .

Web links

Brief biography

References

↑ Cerf Sur les difféomorphismes de la sphère de dimension trois ( ) ${\ displaystyle \ Gamma _ {4} = 0}$ , Lecture Notes in Mathematics, Vol. 53. Springer 1968, “La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie”, IHES Publ., Vol. 39, 1970, pp. 5-173.

personal data
SURNAME	Cerf, Jean
BRIEF DESCRIPTION	French mathematician
DATE OF BIRTH	1928

[1] Cerf Sur les difféomorphismes de la sphère de dimension trois ( ) ${\ displaystyle \ Gamma _ {4} = 0}$ , Lecture Notes in Mathematics, Vol. 53. Springer 1968, “La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie”, IHES Publ., Vol. 39, 1970, pp. 5-173.