ar X iv : d g - ga / 9 50 80 01 v 1 3 A ug 1 99 5 On the L n 2 - norm of Scalar Curvature

ar X iv : c on d - m at / 9 50 80 44 v 1 1 1 A ug 1 99 5 Magnetism of superconducting UPt 3

ar X iv : d g - ga / 9 41 10 11 v 1 2 3 N ov 1 99 4 The number of functionally independent invariants of a pseudo – Riemannian metric

The number of functionally independent scalar invariants of arbitrary order of a generic pseudo–Riemannian metric on an n–dimensional manifold is determined.

ar X iv : n uc l - th / 9 50 80 11 v 2 1 1 A ug 1 99 5 THE d ’ - DIBARYON IN THE NONRELATIVISTIC QUARK MODEL

The narrow peak recently found in various pionic double charge exchange (DCX) cross sections can be explained by the assumption of a universal resonance at 2065 MeV, called d ′. We calculate the mass of a six-quark system with J P = 0 − , T = 0 quantum numbers employing a cluster model and a shell model basis to diagonalize the nonrelativistic quark model Hamiltonian.

ar X iv : d g - ga / 9 70 70 17 v 1 2 4 Ju l 1 99 7 SCALAR CURVATURE RIGIDITY FOR ASYMPTOTICALLY LOCALLY HYPERBOLIC MANIFOLDS

Rigidity results for asymptotically locally hyperbolic manifolds with lower bounds on scalar curvature are proved using spinor methods related to the Witten proof of the positive mass theorem. The argument is based on a study of the Dirac operator defined with respect to the Killing connection. The existence of asymptotic Killing spinors is related to the spin structure on the end. The expressi...

ar X iv : d g - ga / 9 50 70 04 v 1 2 4 Ju l 1 99 5 LOCALISATION OF THE DONALDSON ’ S INVARIANTS ALONG SEIBERG - WITTEN CLASSES

This article is a first step in establishing a link between the Donaldson polynomials and Seiberg-Witten invariants of a smooth 4-manifold.