ar X iv : m at h / 03 12 22 1 v 1 [ m at h . R A ] 1 1 D ec 2 00 3 three talks on noncommutative geometry

ar X iv : h ep - t h / 06 12 12 8 v 1 1 3 D ec 2 00 6 Riemannian Geometry of Noncommutative Surfaces

ar X iv : h ep - t h / 03 12 24 4 v 1 1 9 D ec 2 00 3 FIAN / TD / 07 – 03 On Sp ( 2 M ) Invariant Green Functions

Explicit form of two-point and three-point Sp (2M) invariant Green functions is found.

ar X iv : h ep - t h / 05 12 13 4 v 1 1 3 D ec 2 00 5 A LORENTZ COVARIANT NONCOMMUTATIVE GEOMETRY

A noncommutative geometry that preserves lorentz covariance was introduced by Hartland Snyder in 1947. We show that this geometry has unusual properties under momentum translation, and derive for it a form of star product.

ar X iv : h ep - t h / 03 10 14 5 v 1 1 5 O ct 2 00 3 Noncommutative geometry and the standard model

ar X iv : m at h / 01 03 07 5 v 1 [ m at h . R A ] 1 3 M ar 2 00 1 RESIDUE COMPLEXES OVER NONCOMMUTATIVE RINGS

Residue complexes were introduced by Grothendieck in algebraic geometry. These are canonical complexes of injective modules that enjoy remarkable functorial properties (traces). In this paper we study residue complexes over noncommutative rings. These objects are even more complicated than in the commutative case, since they are complexes of bimodules. We develop methods to prove uniqueness, ex...