The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. (English) Zbl 1304.57033

Farb, Benson (ed.), Problems on mapping class groups and related topics. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3838-5/hbk). Proceedings of Symposia in Pure Mathematics 74, 133-149 (2006).
Summary: Various individuals were invited by Farb to submit open problems which seemed interesting to them about surface mapping class groups. We singled out a particular recent development, Hempel’s concept of the ‘Heegaard distance’ of an element in the mapping class group, and used it to describe a number of open questions which relate to the correspondence between Heegaard surfaces in 3-manifolds and the mapping class group of a 2-manifold.
For the entire collection see [Zbl 1098.58001].


57N10 Topology of general \(3\)-manifolds (MSC2010)
57M99 General low-dimensional topology
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