1.4k citations · 8.5k across the 104 of their papers we have counts for
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math.OA2017★ 3 cited
Trace theorem for quasi-Fuchsian groups
Alain Connes, Fedor Sukochev, Dmitriy Zanin
We complete the proof of the Trace Theorem in the quantized calculus for quasi-Fuchsian group which was stated and sketched, but not fully proved, on pp. 322-325 in the book "Nonco…
hep-th2017★ 5 cited
Geometry and the Quantum
Alain Connes
We give a survey of our joint ongoing work with Ali Chamseddine, Slava Mukhanov and Walter van Suijlekom. We show how a problem purely motivated by "how geometry emerges from the q…
math.AG2017★ 12 cited
Homological algebra in characteristic one
Alain Connes, Caterina Consani
This article develops several main results for a general theory of homological algebra in categories such as the category of sheaves of idempotent modules over a topos. In the anal…