Analytic torsion for twisted de Rham complexes
|
Tue, 15/06/2010 12:00 |
Varghese Mathai (Adelaide) |
Quantum Field Theory Seminar  |
L3 |
| I will define and discuss the properties of the analytic torsion of twisted cohomology and briefly of Z_2-graded elliptic complexes in general, as an element in the graded determinant line of the cohomology of the complex, generalizing most of the variants of Ray- Singer analytic torsion in the literature. IThe definition uses pseudo- differential operators and residue traces. Time permitting, I will also give a couple of applications of this generalized torsion to mathematical physics. This is joint work with Siye Wu. | |||