media archive
Mathematics Conferences
Loading the player ...
Rational homology cobordisms of plumbed manifolds and arborescent link concordance
SPEAKER  |  Paolo Aceto
INSTITUTE  |  
DATE  |  May 10(Wed), 2017
TIME  |  14:30
PLACE  |  8101
Keyword  |  
Download  |  
ABSTRACT  |  We investigate rational homology cobordisms of 3-manifolds with non-zero first Betti number. This is motivated by the natural generalization of the slice-ribbon conjecture to multicomponent links. In particular we consider the problem of which rational homology S^1xS^2's bound rational homology S^1xD^3's. We give a simple procedure to construct rational homology cobordisms between plumbed 3-manifold. We introduce a family F of plumbed 3-manifolds with b_1=1. By adapting an obstruction based on Donaldson's diagonalization theorem we characterize all manifolds in F that bound rational homology S^1xD^3's. For all these manifolds a rational homology cobordism to S^1xS^2 can be constructed via our procedure. The family F is large enough to include all Seifert fibered spaces over the 2-sphere with vanishing Euler invariant. We also describe applications to arborescent link concordance.
  • On dissolving knot s...
    Ki-Heon Yun
    July 11(Tue), 2017
  • Bar Natan's deformat...
    Francesco Lin
    May 11(Thu), 2017
  • On the Bott-Cattaneo...
    Tatsuro Shimizu
    May 11(Thu), 2017
  • Structure of the gro...
    Taehee Kim
    May 10(Wed), 2017
  • 3-manifold invariant...
    Zhongtao Wu
    May 10(Wed), 2017
  • Rational homology co...
    Paolo Aceto
    May 10(Wed), 2017
  • A polynomial invaria...
    Teruaki Kitano
    May 10(Wed), 2017
  • Representation varie...
    Takahiro Kitayama
    May 10(Wed), 2017
  • Topological 4-manifo...
    Mark Powell
    May 9(Tue), 2017
  • Topological 4-manifo...
    Mark Powell
    May 9(Tue), 2017
  • An introduction to m...
    Francesco Lin
    May 9(Tue), 2017
  • An introduction to m...
    Francesco Lin
    May 9(Tue), 2017
  • An introduction to m...
    Francesco Lin
    May 8(Mon), 2017
  • Topological 4-manifo...
    Mark Powell
    May 8(Mon), 2017
  • An introduction to m...
    Francesco Lin
    May 8(Mon), 2017
  • Topological 4-manifo...
    Mark Powell
    May 8(Mon), 2017