Refined Analytic Torsion as an Element of the Determinant Line
Braverman, Maxim ; Kappeler, Thomas
arXiv, 0510532 / Harvested from arXiv
Text on arXiv
We construct a canonical element, called the refined analytic torsion, of the determinant line of the cohomology of a closed oriented odd-dimensional manifold M with coefficients in a flat complex vector bundle E. We compute the Ray-Singer norm of the refined analytic torsion. In particular, if there exists a flat Hermitian metric on E, we show that this norm is equal to 1. We prove a duality theorem, establishing a relationship between the refined analytic torsions corresponding to a flat connection and its dual.
Publié le : 2005-10-25
Classification:  Mathematics - Geometric Topology,  Mathematical Physics,  Mathematics - Differential Geometry,  58J52, 58J28, 57R20 
@article{0510532,
     author = {Braverman, Maxim and Kappeler, Thomas},
     title = {Refined Analytic Torsion as an Element of the Determinant Line},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510532}
}

Braverman, Maxim; Kappeler, Thomas. Refined Analytic Torsion as an Element of the Determinant Line. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510532/