Some notes on analytic torsion of the Rumin complex on contact manifolds
Differential Geometry
2008-02-04 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0704.1982,
title = {Some notes on analytic torsion of the Rumin complex on contact manifolds},
author = {Neil Seshadri},
journal= {arXiv preprint arXiv:0704.1982},
year = {2008}
}
Comments
This paper has been withdrawn by the author, due a crucial error on page 8. A corrected and extended version of this paper appears at arXiv:0802.0123