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Speaker:
Sergey Matveev
Affiliation:
CSU/MPI
Date:
Mon, 24/01/2011 - 16:30 - 18:00
Location:
MPIM Lecture Hall
Parent event:
Low dimensional topology seminar We develop a new version of the famous Diamond Lemma of M. H. A. Newman (1942) and use it to describe several results on decompositions of different geometric objects. 1. A spherical splitting theorem for knotted graphs in 3-manifolds. 2. Counterexamples to the folklore prime decomposition theorem for 3-orbifolds. 3. A theorem on annular splittings of 3-manifolds, which is independent of the JSJ-decomposition theorem. 4. Prime decomposition theorem for homologically trivial knots in thick surfaces.
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