|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Universal Gerbe and Local Family Index Theory | | Alan L. Carey
; Bai-Ling Wang
; | | Date: |
14 Jul 2004 | | Subject: | Differential Geometry; Mathematical Physics MSC-class: 57J52,55R65,19K56,58J28 | math.DG math-ph math.MP | | Abstract: | The goal of this paper is to apply the universal gerbe developed in cite{CMi1} and cite{CMi2} and the local family index theorems to give a unified viewpoint on the known examples of geometrically interesting gerbes, including the determinant bundle gerbes in cite{CMMi1}, the index gerbe in cite{L} for a family of Dirac operators on odd dimensional closed manifolds. We also discuss the associated gerbes for a family of Dirac operators on odd dimensional manifolds with boundary, and for a pair of Melrose-Piazza’s $Cl(1)$-spectral sections for a family of Dirac operators on even dimensional closed manifolds with vanishing index in $K$-theory. The common feature of these bundle gerbes is that there exists a canonical bundle gerbe connection whose curving is given by the degree 2 part of the even eta-form (up to an exact form) arising from the local family index theorem. | | Source: | arXiv, math.DG/0407243 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER