Michel Andre Kervaire ( April 26, 1927 , Czestochowa - November 19, 2007 , Geneva ) is a French mathematician who made a significant contribution to topology and algebra .
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Scientific Contribution
- He proved the existence of manifolds without a smooth structure .
- Together with John Milnor , he found a number of exotic spheres in all dimensions above four.
- Also known for his contribution to the theory of higher dimensional knots .
Biography
The son of the French industrialist André Kerver and Nelly Derancourt.
After graduating from high school in France , Kerver continued his studies at the Swiss higher technical school in Zurich (1947-1952). He defended his thesis under the leadership of Heinz Hopf in 1955.
Professor of the Courant Institute 1959-1971, and later the University of Geneva in 1971-1997.
In 1997 he retired. [2] He was an honorary member of the Swiss Mathematical Society. [3]
Selected Publications
- Kervaire, M. (1960), " A manifold which does not admit any differentiable structure ", Commentarii Mathematici Helvetici T. 34: 257–270, doi : 10.1007 / BF02565940 , < http://retro.seals.ch/digbib/ view? did = c1: 391766 & sdid = c1: 392119 > (inaccessible link)
- Kervaire, Michel A. ; Milnor, John W. . Groups of homotopy spheres: I (Eng.) // Annals of Mathematics : journal. - Princeton University Press, 1963. - Vol. 77 , no. 3 . - P. 504-537 . - DOI : 10.2307 / 1970128 . This paper describes the structure of the group of smooth structures on an n -sphere for n > 4.
- Kervaire, M. (1965), Les nœuds de dimensions supérieures , Bulletin de la Société Mathématique de France T. 93: 225–271 , < http://www.numdam.org/numdam-bin/fitem?id= BSMF_1965__93__225_0 > . Retrieved January 16, 2016. Archived June 5, 2011 on Wayback Machine
- Kervaire, M. (1969), " Smooth homology spheres and their fundamental groups ", Transactions of the American Mathematical Society T. 144: 67–72 , DOI 10.2307 / 1995269
- Kervaire, Michel A. & Eliahou, Shalom (1990), " Minimal resolutions of some monomial ideals ", Journal of Algebra T. 129 (1): 1–25 , DOI 10.1016 / 0021-8693 (90) 90237-I
Notes
Links
- Eliahou, Shalom; de la Harpe, Pierre; Hausmann, Jean-Claude & Weber, Claude (2008), " Michel Kervaire 1927-2007 ", Notices of the American Mathematical Society T. 55 (8): 960–961, ISSN 0002-9920 , < http: // www. ams.org/notices/200808/tx080800960p.pdf >
- Michel Kervaire's work in surgery and knot theory (Slides of lectures given by Andrew Ranicki at the Kervaire Memorial Symposium, Geneva, February 2009)