ar X iv : 0 90 2 . 22 20 v 1 [ m at h . D G ] 1 2 Fe b 20 09 CLASSIFYING CLOSED 2 - ORBIFOLDS WITH EULER CHARACTERISTICS

ar X iv : 0 90 2 . 32 39 v 1 [ m at h . D G ] 1 8 Fe b 20 09 Gauge theory in higher dimensions , II

ar X iv : 0 90 2 . 39 12 v 1 [ m at h . G R ] 2 3 Fe b 20 09 Brent Everitt The Combinatorial Topology

ar X iv : 0 90 2 . 28 05 v 1 [ m at h . D G ] 1 7 Fe b 20 09 Computing the density of Ricci - solitons on CP 2 ♯ 2 CP 2

This is a short note explaining how one can compute the Gaussian density of the Kähler-Ricci soliton and the conformally Kähler, Einstein metric on the two point blow-up of the complex projective plane.

ar X iv : 0 90 2 . 19 17 v 1 [ m at h . D S ] 1 1 Fe b 20 09 AVERAGES ON ANNULI OF EULIDEAN SPACE

We study the range of validity of differentiation theorems and ergodic theorems for R actions, for averages on “thick spheres” of Euclidean space.

ar X iv : 0 90 2 . 20 95 v 1 [ m at h - ph ] 1 2 Fe b 20 09 Modes and quasi - modes on surfaces : variation on an idea of Andrew Hassell

This paper is inspired from the nice idea of A. Hassell in [5]. From the classical paper of V. Arnol’d [1], we know that quasi-modes are not always close to exact modes. We will show that, for almost all Riemannian metrics on closed surfaces with an elliptic generic closed geodesic γ, there exists exact modes located on γ. Similar problems in the integrable case are discussed in several papers ...