Rayon Analyse mathématique
Astérisque, n° 337. Periodic twisted cohomology and T-duality

Fiche technique

Format : Broché
Nb de pages : VI-134 pages
Poids : 400 g
Dimensions : 18cm X 24cm
ISBN : 978-2-85629-307-2
EAN : 9782856293072

Periodic twisted cohomology and T-duality


Série | Astérisque
Paru le
Broché VI-134 pages

Quatrième de couverture

Using the differentiable structure, twisted 2-periodic de Rham cohomology is well known, and showing up as the Larget of Chern characters for twisted K-theory. The main motivation of this work is a topological interpretation of two-periodic twisted de Rham cohomology which is generalizable to arbitrary topological spaces and at the same time to arbitrary coefficients.

To this end we develop a sheaf theory in the context of locally compact topological stacks with emphasis on :

  • the construction of the sheaf theory operations in unbounded derived categories
  • elements of Verdier duality
  • and integration.

The main result is the construction of a functorial periodization associated to a U (1)-gerbe.

As an application we verify the T-duality isomorphism in periodic twisted cohomology and in periodic twisted orbispace cohomology.

Avis des lecteurs

Du même auteur : Markus Spitzweck