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词条 Daniel Bennequin
释义

  1. Education and career

  2. Selected publications

  3. References

  4. External links

Daniel Bennequin (3 January 1952) is a French mathematician, known for the Thurston–Bennequin number (sometimes called the Bennequin number) introduced in his doctoral dissertation.[1]

Education and career

Bennequin completed his secondary education at Lycée Condorcet and then graduated from the École normale supérieure. He received his habilitation (Doctoral d'Etat) in 1982 from the University of Paris VII under Alain Chenciner with thesis Entrelacements et équations de Pfaff.[2][3] He was a professor at the University of Strasbourg before becoming a professor at the University of Paris VII (Institut Mathématique de Jussieu).

Bennequin's dissertation was a major contribution to contact geometry, in which he gave the first example of an exotic contact structure embedded in Euclidan 3-space. On the basis of their work in the 1980s Bennequin and Yakov Eliashberg might be considered the founders of contact topology.[4] Bennequin also works on motion planning.[5] He was a member of Bourbaki.[6]

Selected publications

  • L'instanton gordien, d'après P. B. Kronheimer et T. S. Mrowka, Séminaire Bourbaki Nr. 770, 1992/93, numdam
  • Monopôles de Seiberg-Witten et conjecture de Thom, d'après Kronheimer, Mrowka et Witten, Séminaire Bourbaki Nr. 807, 1995/96, numdam
  • Caustique mystique, d'après Arnold et. al., Séminaire Bourbaki, Nr. 634, 1984/85, numdam
  • Problèmes elliptiques, surfaces de Riemann et structures symplectiques, d'après M. Gromov, Séminaire Bourbaki, Nr. 657, 1985/86, numdam
  • Topologie symplectique, convexité holomorphe et structures de contact, d'après Y. Eliashberg, D. Mc Duff et al, Séminaire Boubaki, Nr. 725, 1989/90, numdam
  • Dualités de champs et de cordes, d’après t'Hooft, Polyakov, Witten et al., Séminaire Bourbaki, Nr. 899, 2001/02, numdam
  • Les Bords des revêtements ramifiés des surfaces, ENS 1977

References

1. ^Maximal Thurston-Bennequin number - Knot Atlas
2. ^{{cite journal|title=Entrelacements et équations de Pfaff|journal=Astérisque|volume=107/108|year=1983|pages=87–161}} (Bennequin's doctoral dissertation)
3. ^{{MathGenealogy|id=56580}}
4. ^Adrien Douady: Noeuds et structures de contact en dimension 3, d'après Daniel Bennequin, Seminaire Bourbaki 604, 1982/83, numdam
5. ^{{cite journal|author=Bennequin, Daniel|author2=Fuchs, Ronit|author3=Berthoz, Alain|author4=Flash, Tamar|title=Movement Timing and Invariance Arise from Several Geometries|journal=PLoS Comput Biol|volume=5|issue=7|date=10 July 2009|doi=10.1371/journal.pcbi.1000426}}
6. ^{{citation|title=Bourbaki: a secret society of mathematicians|first=Maurice|last=Mashaal|publisher=American Mathematical Society|year=2006|page=17|isbn=978-0-8218-3967-6|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA17}}

External links

  • Conference in honor of Bennequin, 2012
{{Authority control}}{{DEFAULTSORT:Bennequin, Daniel}}

8 : 1952 births|Living people|20th-century French mathematicians|21st-century mathematicians|University of Strasbourg faculty|University of Paris faculty|École Normale Supérieure alumni|Nicolas Bourbaki

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