ar X iv : m at h / 02 09 05 2 v 1 [ m at h . SG ] 5 S ep 2 00 2 Examples for nonequivalence of symplectic capacities

ar X iv : m at h / 04 09 02 9 v 1 [ m at h . A G ] 2 S ep 2 00 4 ACM BUNDLES ON GENERAL HYPERSURFACES IN P 5 OF LOW DEGREE

In this paper we show that on a general hypersurface of degree r = 3, 4, 5, 6 in P 5 a rank 2 vector bundle E splits if and only if h 1 E(n) = h 2 E(n) = 0 for all n ∈ Z. Similar results for r = 1, 2 were obtained in [15], [16] and [1].

ar X iv : h ep - t h / 05 09 02 9 v 1 5 S ep 2 00 5 2004 TASI Lectures on Supersymmetry Breaking Markus

These lectures give an introduction to the problem of finding a realistic and natural extension of the standard model based on spontaneously broken supersymmetry. Topics discussed at some length include the effective field theory paradigm, coupling constants as superfield spurions, gauge mediated supersymmetry breaking, and anomaly mediated supersymmetry breaking, including an extensive introdu...

ar X iv : h ep - p h / 02 05 07 5 v 1 8 M ay 2 00 2 CP Violation and the Search for New Physics ∗

We present an overview of CP violation in the Standard Model and Beyond, describing various possible sources of CP violation and how to search for them.

ar X iv : m at h / 05 02 09 4 v 2 [ m at h . D G ] 1 5 M ar 2 00 5 THE SECOND YAMABE INVARIANT

Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to g and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation.

ar X iv : h ep - p h / 02 05 01 6 v 1 2 M ay 2 00 2 Scalar a 0 ( 980 ) meson in φ → π 0 ηγ decay