activity
19982008
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 143 across the 15 of their papers we have counts for

collaborators
Showing 2008Show all

2 papers · 1 filter

math.AG2008

Fun with $\F_1$

Alain Connes, Caterina Consani, Matilde Marcolli

We show that the algebra and the endomotive of the quantum statistical mechanical system of Bost--Connes naturally arises by extension of scalars from the "field with one element"…

hep-th2008★ 5 cited

Supermanifolds from Feynman graphs

Matilde Marcolli, Abhijnan Rej

We generalize the computation of Feynman integrals of log divergent graphs in terms of the Kirchhoff polynomial to the case of graphs with both fermionic and bosonic edges, to whic…