Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings

2008/12/24 by Tsuyoshi Kobayashi, Kobayashi, Tsuyoshi, Yo'av Rieck +1
Mathematics · #57M25 #57M99 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57M99

paper · pdf · doi:10.48550/arxiv.0812.4476

12 pages

arxiv created 2008/12/24 · arxiv updated 2009/12/01

Abstract

We construct infinitely many manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings. Both closed manifolds and manifolds with boundary tori are constructed.

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