Accueil

Stefano Vidussi

  1. A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds.

    Mon, 05/14/2012 - 15:01 — SomNambul
    Authors: Stefan Friedl, Stefano Vidussi
    Subjects: Geometric Topology
    Abstract

    In this paper we show that given any 3-manifold $N$ and any non-fibered class
    in H^1(N;Z) there exists a representation such that the corresponding twisted
    Alexander polynomial is zero. This is obtained by extending earlier work of the
    authors, together with results of Agol and Wise on separability of 3-manifold
    groups. This result allows us to completely classify symplectic 4-manifolds
    with a free circle action, and to determine their symplectic cones.

  2. Construction of symplectic structures on 4-manifolds with a free circle action.

    Mon, 02/07/2011 - 16:01 — SomNambul
    Authors: Stefan Friedl, Stefano Vidussi
    Subjects: Geometric Topology
    Abstract

    Let $M$ be a closed 4-manifold with a free circle action. If the orbit
    manifold $N^3$ satisfies an appropriate fibering condition, then we show how to
    represent a cone in $H^2(M;\R)$ by symplectic forms. This generalizes earlier
    constructions by Thurston, Bouyakoub and Fern\'andez-Gray-Morgan. In the case
    that $M$ is the product 4-manifold $S^1\times N$ our construction complements
    the results of \cite{FV08} (arXiv:0805:1234 [math.GT]) and allows us to
    completely determine the symplectic cone of such 4-manifolds.

  3. Symplectic 4--manifolds with K = 0 and the Lubotzky alternative.

    Mon, 02/07/2011 - 16:01 — SomNambul
    Authors: Stefan Friedl, Stefano Vidussi
    Subjects: Geometric Topology
    Abstract

    In this paper we use the Lubotzky alternative for finitely generated linear
    groups to determine which 4-manifolds admitting a free circle action can be
    endowed with a symplectic structure with trivial canonical class. The content
    of this paper partly overlaps with the content of the unpublished preprint
    "Symplectic 4-manifolds with a free circle action" (arXiv:0801.1313 [math.GT]).

  4. Twisted Alexander polynomials and fibered 3-manifolds.

    Tue, 01/05/2010 - 16:01 — SomNambul
    Authors: Stefan Friedl, Stefano Vidussi
    Subjects: Geometric Topology
    Abstract

    In a series of papers the authors proved that twisted Alexander polynomials
    detect fibered 3-manifolds, and they showed that this implies that a closed
    3-manifold N is fibered if and only if S^1 x N is symplectic. In this note we
    summarize some of the key ideas of the proofs. We also give new evidence to the
    conjecture that if $ is a symplectic 4-manifold with a free S^1-action, then
    the orbit space is fibered.

Math-arch

Syndicate content