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Displaying 61 – 80 of 241

Dynamical systems and the homology norm of a 3-manifold II.

Lee Mosher (1992)

Inventiones mathematicae

Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation

Serge Cantat, Frank Loray (2009)

Annales de l’institut Fourier

We consider representations of the fundamental group of the four punctured sphere into $SL (2, ℂ)$ . The moduli space of representations modulo conjugacy is the character variety. The Mapping Class Group of the punctured sphere acts on this space by symplectic polynomial automorphisms. This dynamical system can be interpreted as the monodromy of the Painlevé VI equation. Infinite bounded orbits are characterized: they come from $SU (2)$ -representations. We prove the absence of invariant affine structure (and invariant...

Elder siblings and the taming of hyperbolic 3-manifolds.

Freedman, Michael H., McMullen, Curtis T. (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

Every connected sum of lens spaces is a real component of a uniruled algebraic variety

Johannes Huisman, Frédéric Mangolte (2005)

Annales de l'institut Fourier

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.

Extended moduli spaces of flat connections on Riemann surfaces.

Lisa C. Jeffrey (1994)

Mathematische Annalen

$f$ -vectors of 3-manifolds.

Lutz, Frank H., Sulanke, Thom, Swartz, Ed (2009)

The Electronic Journal of Combinatorics [electronic only]

Feuilletages transversalement projectifs sur les variétés de Seifert

Thierry Barbot (2003)

Annales de l’institut Fourier

Soit $M$ une variété de Seifert de groupe fondamental non virtuellement résoluble. Soit $Φ$ un feuilletage de dimension $1$ sur $M$ , muni d’une structure projective réelle transverse. On suppose que $Φ$ satisfait la propriété de relèvement des chemins, i.e., que l’espace des feuilles du relèvement de $Φ$ dans le revêtement universel de $M$ est séparé au sens de Hausdorff. On montre qu’à revêtements finis près, $Φ$ est soit une fibration projective, soit un feuilletage géodésique convexe, soit un feuilletage horocyclique...