Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/17763
Citations | ||
Scopus | Web of ScienceĀ® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | T-duality for torus bundles with H-fluxes via noncommutative topology |
Author: | Varghese, M. Rosenberg, J. |
Citation: | Communications in Mathematical Physics, 2005; 253(3):705-721 |
Publisher: | Springer |
Issue Date: | 2005 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | Varghese Mathai and Jonathan Rosenberg |
Abstract: | It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do not necessarily have a T-dual which is a torus bundle. A big puzzle has been to explain these mysterious missing T-duals. Here we show that this problem is resolved using noncommutative topology. It turns out that every principal T2-bundle with H-flux does indeed have a T-dual, but in the missing cases (which we characterize), the T-dual is non-classical and is a bundle of noncommutative tori. The duality comes with an isomorphism of twisted K-theories, just as in the classical case. The isomorphism of twisted cohomology which one gets in the classical case is replaced by an isomorphism of twisted cyclic homology. |
Description: | The original publication is available at www.springerlink.com |
DOI: | 10.1007/s00220-004-1159-7 |
Published version: | http://www.springerlink.com/content/t81qxjd6ruj6vwfu |
Appears in Collections: | Aurora harvest 2 Pure Mathematics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.