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arXiv · 2202.10764

Scattering Theory with Unitary Twists

Moritz Doll·Ksenia Fedosova·Anke Pohl
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Abstract

We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the approach by Guillop\'e and Zworski, we establish a factorization formula for the twisted scattering determinant and describe the behavior of the scattering matrix in a neighborhood of $1/2$.

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BibTeXRIS

Moritz Doll, Ksenia Fedosova, Anke Pohl. 2022-02-22. Scattering Theory with Unitary Twists. https://arxiv.org/abs/2202.10764

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