It is shown that every bundle ! M of complex, irreducible and faithful modules over the Cliiord bundle of an even-dimensional Riemannian space (M; g) with local model (V; h) is associated with a cpin (\Cliiord") structure on M, this being an extension of the SO(h)-bundle of orthonormal frames on M to the Cliiord group Cpin(h) = (C Spin(h))=Z 2. An explicit construction is given of the total spa...

where a = ∑i, j vi j (PiQ j)(S [qi j]×Piδ Q j) b = ∑i, j vi j (PiQ j)(S [qi j]×∆PiQ j) c = ∑i, j vi j (S [qi j]×Piδ Q j) >(S [qi j]×∆PiQ j)+(PiQ j) (∆Piδ Q j) d = ∑i, j vi j (S [qi j]×∆PiQ j) (∆Piδ Q j) e = ∑i, j vi j (S [qi j]×Piδ Q j) (∆Piδ Q j) f = ∑i, j vi j (∆Piδ Q j)(∆Piδ Q j) g = ∑i, j vi j (S [qi j]×Piδ Q j) >(S [qi j]×Piδ Q j) h = ∑i, j vi j (S [qi j]×∆PiQ) >(S [qi j]×∆PiQ j) Solving t...

We show that every Lie algebroid A over a manifold P has a natural representation on the line bundle QA = ∧topA⊗ ∧topT ∗P . The line bundle QA may be viewed as the Lie algebroid analog of the orientation bundle in topology, and sections of QA may be viewed as transverse measures to A. As a consequence, there is a well-defined class in the first Lie algebroid cohomology H(A) called the modular c...

A supersymmetric generalization of the Krichever map is used to construct algebro-geometric solutions to the various super KadomtsevPetviashvili (SKP) hierarchies. The geometric data required consist of a suitable algebraic supercurve of genus g (generally no t a super Riemann surface) with a distinguished point and local coordinates (z, 0) there, and a generic line bundle of degree g 1 with a ...

OBJECTIVE Pediatric oncology patients are frequently managed with central lines as outpatients, and these lines confer significant morbidity in this immune-compromised population. We aimed to investigate whether a multidisciplinary, central line maintenance care bundle reduces central line-associated bloodstream infections (CLABSIs) and bacteremias in ambulatory pediatric oncology patients. M...

Given a holomorphic Hilbertian bundle on a compact complex manifold, we introduce the notion of holomorphic L 2 torsion, which lies in the determinant line of the twisted L 2 Dolbeault cohomology and represents a volume element there. Here we utilise the theory of determinant lines of Hilbertian modules over finite von Neumann algebras as developed in [CFM]. This specialises to the Ray-Singer-Q...