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Showing 2003 · math.GTShow all
2 papers · 2 filters
math.GT2003
The Heegaard genus of amalgamated 3-manifolds
Marc Lackenby
Let M and M' be simple 3-manifolds, each with connected boundary of genus at least two. Suppose that M and M' are glued via a homeomorphism between their boundaries. Then we show t…
math.GT2003★ 10 cited
Strings and the stable cohomology of mapping class groups
Ulrike Tillmann
Twenty years ago, Mumford initiated the systematic study of the cohomology ring of moduli spaces of Riemann surfaces. Around the same time, Harer proved that the homology of the ma…