The analytic torsions of the line bundles over the quadrics

京都工芸繊維大学

2010-12-16T05:49:47Z

2010-12-16T05:49:47Z

2010-11-12

The analytic torsions of the line bundles over the quadrics are computed directly from the defining spectral zeta functions associated with the Dolbeault complex. The spectral data needed are calculated using the branching rule for the symmetric pair (SO(n+2), SO(2)×SO(n)) given by the author in [2]. The spectral zeta functions for the analytic torsions are shown to be of the form treated by the author in [3] and the derivatives at $0$ are computed by the method developed there. The result is compared with the well-known Kai Köhler's paper [1]. The cancellation of the spectral zeta functions is observed, on the level of the spectral data.

542060 bytes

application/pdf

京都工芸繊維大学 学術報告書,第４巻,2010.11,pp.55-71

1882-8779

http://hdl.handle.net/10212/2027

en

publisher

0040

Journal Article

Article