A class of 4-pseudomanifolds similar to the lense spaces.
A Loop Theorem for Duality Spaces and Fibred Ribbon Knots.
A Relative cohomological invariant for group pairs.
Actions of Groups with Periodic Cohomology on Poincaré Duality Spaces.
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
An indecomposable -complex. II.
Batalin-Vilkovisky algebra structures on Hochschild cohomology
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...
Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes.
Compactly supported cohomology of systolic 3-pseudomanifolds
We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
Decomposition Theorems for Group Pairs.
Dualité dans les revetements galoisiens.
Embedding, compression and fiberwise homotopy theory.
General Position in the Poincaré Duality Category.
Geometrically Defined Transfers, Comparisons.
Intersection Whitehead Torsion and the s-Cobordism Theorem for Pseudomanifolds.
Line bundles with . A six dimensional example
We exhibit a six dimensional manifold with a line bundle on it which is not the pullback of a bundle on .
Line bundles with . Higher order obstruction
We study secondary obstructions to representing a line bundle as the pull-back of a line bundle on and we interpret them geometrically.
On 4-manifolds with free fundamental group.
On a Theorem of Barden.
On Manifolds Representing Homology Classes in Codimension 2.