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Habilitation à diriger des recherches
Quelques interactions de la topologie classique et quantique en dimension trois
Quelques interactions de la topologie classique et quantique en dimension trois
Abstract : In 1984 Jones discovered a polynomial invariant of knots, which resembled none of the formerly known concepts. Within a few years this led to the invention of a multitude of other polynomial invariants, also called quantum invariants or invariants of finite type, coming from braid group representations and often inspired by analogies with theoretical physics. Despite their merits for knot theory and the theory of 3-manifolds, these invariants remain ill understood from the viewpoint of algebraic topology or 3-dimensional topology. Ce mémoire presents and discusses some partial answers.
Cited literature [77 references]
https://tel.archives-ouvertes.fr/tel-00348433
Contributor : Michael Eisermann <>
Submitted on : Thursday, December 18, 2008 - 11:49:26 PM
Last modification on : Wednesday, November 4, 2020 - 2:04:04 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 5:53:20 PM
Contributor : Michael Eisermann <>
Submitted on : Thursday, December 18, 2008 - 11:49:26 PM
Last modification on : Wednesday, November 4, 2020 - 2:04:04 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 5:53:20 PM