Minimal varieties with trivial canonical classes, I.
Minimality and unique ergodicity for subgroup actions
Let be an -algebraic semisimple group, an algebraic -subgroup, and a lattice in . Partially answering a question posed by Hillel Furstenberg in 1972, we prove that if the action of on is minimal, then it is uniquely ergodic. Our proof uses in an essential way Marina Ratner’s classification of probability measures on invariant under unipotent elements, and the study of “tubes” in .
Minimality of toric arrangements
We prove that the complement of a toric arrangement has the homotopy type of a minimal CW-complex. As a corollary we deduce that the integer cohomology of these spaces is torsionfree. We apply discrete Morse theory to the toric Salvetti complex, providing a sequence of cellular collapses that leads to a minimal complex.
Minimally knotted embeddings of planar graphs.
Minimizing the presentation of a knot group.
Minimum Ideal Triangulations of Hyperbolic 3-Manifolds.
Minoration du spectre des variétés hyperboliques de dimension 3
Soit une variété hyperbolique compacte de dimension 3, de diamètre et de volume . Si on note la -ième valeur propre du laplacien de Hodge-de Rham agissant sur les 1-formes coexactes de , on montre que et , où est une constante ne dépendant que de , et est le nombre de composantes connexes de la partie mince de . En outre, on montre que pour toute 3-variété hyperbolique de volume fini avec cusps, il existe une suite de remplissages compacts de , de diamètre telle que et .
Mirror-curve Codes for Knots and Links
Mise en position optimale de tores par rapport à un flot d'Anosov.
Mixed Hodge Structures on the Homotopy of Links.
Mod 2 exterior H-spaces.
Mod 2 Semi-characteristics and the Converse to a Theorem of Milnor.
Modèle de Segal pour les structures multifeuilletées.
Modeling repulsive forces on fibres via knot energies
Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from strongly bending and forming self-intersections. Inspired by a physical toy model, numerous functionals have been defined during the past twenty-five years that aim at modeling self-avoidance. The general idea is to produce “detangled” curves having...
Models for actions of certain groupoids
Modifying surfaces in 4-manifolds by twist spinning.
Modular circle quotients and PL limit sets.
Modular classes of Q-manifolds: a review and some applications
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold – which is viewed as the obstruction to the existence of a Q-invariant Berezin volume – is not well know. We review the basic ideas and then apply this technology to various examples, including -algebroids and higher Poisson manifolds.
Modular Classes of Q-Manifolds, Part II: Riemannian Structures Odd Killing Vectors Fields
We define and make an initial study of (even) Riemannian supermanifolds equipped with a homological vector field that is also a Killing vector field. We refer to such supermanifolds as Riemannian Q-manifolds. We show that such Q-manifolds are unimodular, i.e., come equipped with a Q-invariant Berezin volume.
Modular Representations of GL (n, p), Splitting ...(...P...x...x---P...), and the ß-family as Framed Hypersurfaces.