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Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) [Hardcover]

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Item description for Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) by Jean Barge...

La thorie classique des suites de Sturm fournit un algorithme pour dterminer le nombre de racines d'un polynme coefficients rels contenues dans un intervalle donn. L'objet principal de ce mmoire est de montrer qu'une gnralisation adquate de la thorie des suites de Sturm fournit entre autres choses:

  • une notion d'indice de Maslov pour un lacet algbrique de lagrangiens dfini sur un anneau commutatif;
  • une dmonstration du thorme fondamental de la K-thorie (algbrique) hermitienne, thorme d M. Karoubi;
  • une dmonstration des thormes de priodicit de Bott (topologique), dans l'esprit des travaux de F. Latour;
  • un calcul du groupe K2 relatif, symplectique-linaire, pour tous les anneaux commutatifs, dans l'esprit des travaux de R. Sharpe.

Le livre est dans la mesure du possible self-contained et lmentaire: il met essentiellement en oeuvre des arguments d'algbre linaire ou bilinaire. Il prsente une approche unifie de l'indice de Maslov en termes de suites de Sturm et de formes quadratiques.

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Item Specifications...

Pages   199
Binding  Hardcover
Release Date   Aug 6, 2008
Publisher   Birkhäuser Basel
ISBN  3764387092  
ISBN13  9783764387099  

Availability  139 units.
Availability accurate as of May 26, 2017 12:16.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
2Books > Subjects > Science > General
3Books > Subjects > Science > Mathematics > Geometry & Topology > Topology

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