Student 3-Manifold Seminar: JSJ Decompositions

Seminar | March 1 | 4-5:30 p.m. | 939 Evans Hall

 Kyle Miller, UC Berkeley

 Department of Mathematics

The irreducible 3-manifolds that come from a prime decomposition can be further decomposed along embedded tori. Jaco, Shalen, and Johannson proved there is a minimal collection of such tori, unique up to isotopy, that splits an irreducible compact orientable manifold into pieces that are either Seifert-fibered or atoroidal. We will discuss examples, incompressible surfaces, and Seifert-fibered spaces.