Theoretical Statistics and Mathematics Unit, ISI Delhi

March 7, 2014 (Friday) ,
3:30 PM at Webinar

Speaker:
Tejas Kalelkar,
IISER, Pune

Title:
Taut foliations of punctured-surface bundles

Abstract of Talk

A codimension-1 foliation F of a 3-manifold M is
called taut if there exists a closed curve in M that intersects
each leaf of F transversely. Existence of taut foliations imply
useful properties for a 3-manifold. I will give a motivation for
the study of taut foliations of 3-manifolds and then focus on taut
foliations of punctured-surface bundles. In particular, I shall give
an outline of the proof of the result that Dehn-filling the boundary
of a surface bundle along slopes sufficiently close to the slope of
the fiber of the bundle produces closed manifolds with
taut-foliations. This is joint work with Rachel Roberts. I shall
give all pre-requisites specific to the theory of 3-manifolds.