Quillen metric theory for surfaces with cusps
Siarhei Finski1
1 Institut Fourier Université Grenoble Alpes, France
Séminaire de théorie spectrale et géométrie, Volume 36 (2019-2021), pp. 31-50

In this note, we define the analytic torsion for complete non-compact Riemann surfaces with hyperbolic cusps singularities. We then show that the Quillen metric associated to it satisfies the curvature formula and study the behaviour of it for families of Riemann surfaces when the additional cusps are created by degeneration.

Published online:
DOI: 10.5802/tsg.372

Siarhei Finski 1

1 Institut Fourier Université Grenoble Alpes, France 
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Siarhei Finski. Quillen metric theory for surfaces with cusps. Séminaire de théorie spectrale et géométrie, Volume 36 (2019-2021), pp. 31-50. doi: 10.5802/tsg.372

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