Modular Gaussian curvature
Matthias Lesch, Henri Moscovici
TL;DR
This paper reviews recent advances in the conformal geometry of the irrational rotation algebra, highlighting developments since Cohen and Connes' foundational work, and discusses the contributions of various researchers in this area.
Contribution
It provides a comprehensive overview of the latest progress in understanding the conformal geometry of the irrational rotation algebra, building on foundational theories.
Findings
Summarizes key developments in the conformal geometry of irrational rotation algebra.
Highlights contributions of Connes and others to the field.
Identifies open problems and future directions.
Abstract
We review the state of the art of our understanding of the conformal geometry of the irrational rotation algebra. This was sparked by a paper by Cohen and Connes. We review the more recent progress made by Connes and the second named author and the work of the authors of this review.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry