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Generalizations of the JSJ decomposition of a 3-manifold
Geometry/Topology| Speaker: | Peter Scott, University of Michigan |
| Location: | 693 Kerr |
| Start time: | Wed, Apr 27 2005, 4:10PM |
Description
In the 1970's, Jaco and Shalen and independently Johannson
described the decomposition of a compact 3-manifold which is now called
the JSJ decompsition after them. There have been many algebraic
generalisations of their results. Their results have also been
generalized to higher dimensional manifolds but only when the curvature
is
non-positive. In this talk I will discuss generalizations of the JSJ
decomposition of a 3-manifold to the setting of PDn pairs (the algebraic
analogue of a compact n-manifold with boundary).