Euclidean Convexity Cannot be Compactified.
Euclidean Mahler measure and twisted links.
Euler Characteristic and the Class of Unit in K-theory.
Euler characteristics of 2-manifolds and light open maps
Evaluating a p-th order cohomology operation.
A certain p-th order cup product is detected by a p-th order cohomology operation. The result is applied to finite H-spaces, to show that several properties of compact Lie groups do not hold for arbitrary torsion free finite H-spaces.
Evaluation of the Transfer and the Universal Surgery Classes.
Every braid admits a short sigma-definite expression
A result by Dehornoy (1992) says that every nontrivial braid admits a -definite expression, defined as a braid word in which the generator with maximal index appears with exponents that are all positive, or all negative. This is the ground result for ordering braids. In this paper, we enhance this result and prove that every braid admits a -definite word expression that, in addition, is quasi-geodesic. This establishes a longstanding conjecture. Our proof uses the dual braid monoid and a new...
Every connected sum of lens spaces is a real component of a uniruled algebraic variety
We show that any finite connected sum of lens spaces is diffeomorphic to a real component of a uniruled projective variety, and prove a conjecture of János Kollár.
Every knot is a billiard knot
We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Every Odd Dimensional Homotopy Sphere has a Foliation of Codimension One
Every orientable 3-manifold is a .
Every paracompact -manifold modelled on the infinite countable product of lines is -stable
Exactitude à gauche du foncteur de cohomologie bornée réelle
Examples of Asymmetrie Differentiable Manifolds.
Examples of circle actions on symplectic spaces
Examples of disks in /G which cannot be approximated by P-liftable disks
Examples of Expanding Endomorphisms on Exotic Tori.
Examples of Free Involutions on Manifolds.
Examples of Manifolds which are Homogeneous Spaces de Lie Groups of Arbitrarily Large Dimension.
Examples of parallel spin-tensors.