Minimal Coverings of Manifolds with Balls.
Minimal degree sequence for 2-bridge knots
We discuss polynomial representations for 2-bridge knots and determine the minimal degree sequence for all such knots. We apply the connection between rational tangles and 2-bridge knots.
Minimal dimensions for flat manifolds with prescribed holonomy.
Minimal genus of abelian actions on Klein surfaces with boundary.
Minimal m-functions
Minimal Models in Homotopy Theory.
Minimal models of foliated algebraic surfaces
Minimal models of oriented Grassmannians and applications
Minimal Nielsen root classes and roots of liftings.
Minimal Seifert manifolds.
Minimal sets of foliations on complex projective spaces
Minimal surface representations of virtual knots and links.
Minimal surfaces and 3-manifolds of non-negative Ricci curvature.
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 .