activity
19982005
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 137 across the 11 of their papers we have counts for

collaborators
Showing 2001Show all

3 papers · 1 filter

math.NT2001

Limiting modular symbols and the Lyapunov spectrum

Matilde Marcolli

This paper consists of variations upon the theme of limiting modular symbols. Topics covered are: an expression of limiting modular symbols as Birkhoff averages on level sets of th…

math.NT2001

Continued fractions, modular symbols, and non-commutative geometry

Yuri I. Manin, Matilde Marcolli

Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss-Kuzmin theorem about the distribution of continued fractions, which in particular allows one t…

math.GT2001

Exact triangles in monopole homology and the Casson-Walker invariant

Matilde Marcolli, Bai-Ling Wang

We establish the exact triangle in Seiberg-Witten-Floer theory relating the monopoloe homologies of any two closed 3-manifolds which are obtained from each other by -surgery…