FJ-LMI Seminar

Seminar information archive ~12/08Next seminarFuture seminars 12/09~

Organizer(s) Toshiyuki Kobayashi, Michael Pevzner


14:00-14:40   Room #117 (Graduate School of Math. Sci. Bldg.)
Gwénaël MASSUYEAU (Université de Bourgogne & CNRS)
Surgery equivalence relations on 3-manifolds (English)
[ Abstract ]
By some classical results in low-dimensional topology, any two 3-manifolds (with the “same” boundaries) are related one to the other by surgery operations. In this survey talk, we shall review this basic fact and, next, by restricting the type of surgeries, we shall consider several families of non-trivial equivalence relations on the set of (homeomorphism classes of) 3-manifolds. Those “surgery equivalence relations” are defined in terms of filtrations of the mapping class groups of surfaces, and their characterization / classification involves the notion of “finite-type invariant” which arises in quantum topology.
[ Reference URL ]