科研之友
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摘要
Let M (1) and M (2) be compact, orientable 3-manifolds with incompressible boundary, and M the manifold obtained by gluing with a homeomorphism . We analyze the relationship between the sets of low genus Heegaard splittings of M (1), M (2), and M, assuming the map is "sufficiently complicated". This analysis yields counter-examples to the Stabilization Conjecture, a resolution of the higher genus analogue of a conjecture of Gordon, and a result about the uniqueness of expressions of Heegaard splittings as amalgamations.
- 出版日期2013-2
