Abstract : As the title suggests, this paper reviews some classical and less classical properties of quadratic forms and their signatures. We tried to collect several results which are not usually presented in a unified way. Our first chapter is essentially historical and describes the development of the theory of quadratic forms during the nineteenth century and the first half of the twentieth. The following chapters discuss applications to topology, dynamics and number theory, including modern developments.
Type de document :
Article dans une revue
Ensaios Matemáticos, Brazilian Mathematical Society, 2016, Six papers on signatures, braids and Seifert surfaces, 30, pp.1 - 173
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01405519
Contributeur : Etienne Ghys
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Soumis le : lundi 5 décembre 2016 - 11:59:40
Dernière modification le : lundi 18 février 2019 - 15:12:08
Étienne Ghys, Andrew Ranicki. Signatures in algebra, topology and dynamics. Ensaios Matemáticos, Brazilian Mathematical Society, 2016, Six papers on signatures, braids and Seifert surfaces, 30, pp.1 - 173. 〈ensl-01405519〉
