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

Neil Seshadri

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arXiv · 0704.1982

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

Neil Seshadri

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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.

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Neil Seshadri. 2008-02-04. Some notes on analytic torsion of the Rumin complex on contact manifolds. https://arxiv.org/abs/0704.1982

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