Holomorphic Koszul-Brylinski Homology

In this note, we study the Koszul-Brylinski homology of holomorphic Poisson manifolds. We show that it is isomorphic to the cohomology of a certain smooth complex Lie algebroid with values in the Evens-Lu-Weinstein duality module. As a consequence, we prove that the Evens-Lu-Weinstein pairing on Koszul-Brylinski homology is nondegenerate. Finally we compute the Koszul-Brylinski homology for Poisson structures on \CP^1\times\CP^1.Comment: 14 page

Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids

We study holomorphic Poisson manifolds and holomorphic Lie algebroids from the viewpoint of real Poisson geometry. We give a characterization of holomorphic Poisson structures in terms of the Poisson Nijenhuis structures of Magri-Morosi and describe a double complex which computes the holomorphic Poisson cohomology. A holomorphic Lie algebroid structure on a vector bundle $A\to X$ is shown to be equivalent to a matched pair of complex Lie algebroids $(T^{0,1}X,A^{1,0})$, in the sense of Lu. The holomorphic Lie algebroid cohomology of $A$ is isomorphic to the cohomology of the elliptic Lie algebroid $T^{0,1}X\bowtie A^{1,0}$. In the case when $(X,\pi)$ is a holomorphic Poisson manifold and $A=(T^*X)_\pi$, such an elliptic Lie algebroid coincides with the Dirac structure corresponding to the associated generalized complex structure of the holomorphic Poisson manifold.Comment: 29 pages, v2: paper split into two, part 1 of 2, v3: two references added, v4: final version to appear in International Mathematics Research Notice

Polyvector fields and polydifferential operators associated with Lie pairs

We prove that the spaces tot (Γ(λ•A)⊗Rt•polly;) and tot (Γ(λ•A)⊗RD•polly;) associated with a Lie pair (L,A) each carry an L∞algebra structure canonical up to an L1 isomorphism with the identity map as linear part. These two spaces serve, respectively, as replacements for the spaces of formal polyvector fields and formal polydifferential operators on the Lie pair (L,A). Consequently, both H•CE(A t•polly;) and H•CE(A D•polly;) admit unique Gerstenhaber algebra structures. Our approach is based on homotopy transfer and the construction of a Fedosov dg Lie algebroid (i.e. a dg foliation on a Fedosov dg manifold)

'Native' computed tomography: A new radiological approach of the herniated lumbar disk

SCOPUS: NotDefined.jinfo:eu-repo/semantics/publishe

Le diagnostic ultrasonore des métastases hépatiques

SCOPUS: NotDefined.jinfo:eu-repo/semantics/publishe

TOMODENSITOMETRIE DU LARYNX: ASPECT NORMAL ET PATHOLOGIQUE TUMORAL; EVALUATION DE L'APPORT SPECIFIQUE DE LA METHODE

Computed tomography has proved itself as the radiological examination of choice with regard to the evaluation of the extent of a laryngeal tumour and the possibilities for surgery. A comparative study carried out in 16 patients has analysed the contributions of three diagnostic methods: indirect laryngoscopy, conventional radiology, and computed tomography. Indirect laryngoscopy, together with computed tomography is the optimal diagnostic procedure; the former to study the mucosal lesions, the latter to ascertain the spread into surrounding subglottal tissue.SCOPUS: NotDefined.jinfo:eu-repo/semantics/publishe

The radiological diagnosis of a gastro-intestinal hemorrhage of uncommon origin

In this case of an upper gastro-intestinal hemorrhage resulting from esophageal varices with splenomegaly, radiographic studies established the diagnosis. The required information was obtained with a variety of radiological examinations: barium studies of the G.I.tract, computerized tomography, celiac arteriography and splenoportography. The primary lesion was a retroperitoneal mass (lymphoma). This produced a compression of the splenic vessels, with elective venous obstruction.SCOPUS: NotDefined.jinfo:eu-repo/semantics/publishe