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교과목명 :  MA630 기하학적위상수학
담당교수 :  최 서 영
강의시간 :  월,수 13:00-14:30
강 의 실  :  자연 #4417

3-manifold theory   Syllabus (2004 September)

1.  Review PL-structures, Smooth structures
2.  Heegaard Splitting, connected sums
3.  Dehn’s Lemma, Loop theorem, Sphere theorem
4.  Incompressible surfaces
5.  Scott’s core theorem
6.  I-bundles, Group Extensions and fibrations
7.  Seifert fibered spaces
8.  Sufficiently large manifolds
9.  JSJ(Jaco-Shalen, Johannson)-Decomposition


Books. Primary: 3-manifolds by John Hempel, Princeton University Press
2ndary Notes on Basic 3-manifold topology, by Allen Hatcher
Notes on Geometry and 3-manifolds by Walter Neumann

We spend 1 and 1/2 to 2 weeks for each topic.