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math.QA2016★ 19 cited
The term a_4 in the heat kernel expansion of noncommutative tori
Alain Connes, Farzad Fathizadeh
We consider the Laplacian associated with a general metric in the canonical conformal structure of the noncommutative two torus, and calculate a local expression for the term a_4 t…
math.AG2016
Geometry of the scaling site
Alain Connes, Caterina Consani
We construct the scaling site S by implementing the extension of scalars on the arithmetic site, from the smallest Boolean semifield to the tropical semifield of positive real numb…