The Stable Topological-hyperbolic Space Form Problem for Complete Manifolds of Finite Volume.
The structure of the cut locus in dimension less than or equal to six
The Subgroup of ...2 Generated by Automorphisms of Tori.
The superpolynomial for knot homologies.
The surgery L-groups of poly-(finite or cyclic) groups.
The Surgery Obstruction Groups for Finite 2-Groups.
The surgery obstruction groups of the infinite dihedral group.
The Surgery of Lagrange Submanifolds.
The symplectic Thom conjecture.
The systolic constant of orientable Bieberbach 3-manifolds
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds are aspherical, therefore the supremum of their systolic ratio, over the set of Riemannian metrics, is finite by a fundamental result of M. Gromov. We study the optimal systolic ratio of compact -dimensional orientable Bieberbach manifolds which are not tori, and prove that it cannot be realized by a flat metric. We also highlight a metric that we construct on one type of such manifolds () which...
The tangent stars of a set, and extensions of smooth functions.
The Theory of Foliations of Codimension Greater than One
The topological rationality of linear representations
The Topological-Euclidean Space Form Problem.
The topology of conjugate varieties.
The topology of holomorphic flows with singularity
The topology of the Yang-Mills theory over torus
The Universal Smooth Surgery Class.
The Weakly Neighborly Polyhedral Maps on the 2-Manifold with Euler Characteristic -1.
Théorème de Gauß-Bonnet et géométrie non commutative