The spectral theory of generalized Laplacians associated to integrable metrics on compact Riemann surfaces

Mounir Hajli

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arXiv · 1301.1793

The spectral theory of generalized Laplacians associated to integrable metrics on compact Riemann surfaces

Mounir Hajli

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Abstract

We extend the spectral theory of generalized Laplacians to integrable metrics on compact Riemann surfaces. As a consequence, we attach in a direct way, a holomorphic analytic torsion to any integrable metrics. We also provide a different approach to define the holomorphic analytic torsion. We prove that both approaches agree.

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Mounir Hajli. 2013-01-16. The spectral theory of generalized Laplacians associated to integrable metrics on compact Riemann surfaces. https://arxiv.org/abs/1301.1793

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