A class of 4-pseudomanifolds similar to the lense spaces.
A few topological problems
A Loop Theorem for Duality Spaces and Fibred Ribbon Knots.
A note on the homotopical characterization of Rn.
A Relative cohomological invariant for group pairs.
Absolute suspensions and cones
Actions of Groups with Periodic Cohomology on Poincaré Duality Spaces.
An annulus theorem for suspension spheres
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
An indecomposable -complex. II.
An infinite-dimensional torsion-free FP...group.
Analyse dans les topos lisses
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.
Constructing exotic retracts, factors of manifolds, and generalized manifolds via decompositions
Corrigendum to Resolutions of homology manifolds, and the topological characterization of manifolds.
Decomposition Theorems for Group Pairs.
Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint arc-disk...
Dualité dans les revetements galoisiens.