Some notes on analytic torsion of the Rumin complex on contact manifolds

Details Some notes on analytic torsion of the Rumin complex on contact manifolds Some notes on analytic torsion of the Rumin complex on contact manifolds

2007-04-16

arxiv.org/abs/0704.1982v2

Mathematics

Differential Geometry

This paper has been withdrawn by the author, due a crucial error on page 8. A corrected and extended version of this paper app

Scientific paper

We propose a definition for analytic torsion of the Rumin complex on contact manifolds. This is given by the derivative at zero of a well-chosen combination of zeta functions of a fourth-order modified Rumin Laplacian. The regular value at zero (before differentiation) of this well-chosen combination of zeta functions is shown to be a contact invariant. The variation of our analytic torsion is given as the integral of local terms, together with a global term coming from the null-space of the Laplacian.

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