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arXiv · 1509.02864

Fredholm modules and the Beilinson-Bloch regulator

Eugene Ha·Victor Kasatkin
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Abstract

We prove an operator-theoretic reconstruction of the Beilinson-Bloch regulator for compact Riemann surfaces, using loop operators and the Connes-Karoubi character for Fredholm modules. The proof includes a new computation of the Connes-Karoubi character for Steinberg symbols of the circle, which relies on the Helton-Howe determinant theory, but not on the Carey-Pincus theory of joint torsion.

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Eugene Ha, Victor Kasatkin. 2015-09-09. Fredholm modules and the Beilinson-Bloch regulator. https://arxiv.org/abs/1509.02864

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