Modular Gaussian curvature

Matthias Lesch () and Henri Moscovici ()
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Matthias Lesch: Universität Bonn, Mathematisches Institut
Henri Moscovici: The Ohio State University, Department of Mathematics

A chapter in Advances in Noncommutative Geometry, 2019, pp 463-490 from Springer

Abstract: Abstract This is a brief survey of the main developments that led to the emergence of the quantized analogue of Gaussian curvature for the noncommutative torus and to its current understanding. It highlights the role of Connes’ pseudodifferential calculus as the crucial technical tool for the explicit computation of the modular Gaussian curvature, the effectiveness of the variational methods, and it sheds more light on the intrinsic geometric meaning of the Morita equivalence in this context.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-29597-4_8

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DOI: 10.1007/978-3-030-29597-4_8

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