Abstract
Let be a weakly reducible unstabilized genus three Heegaard splitting in an orientable, irreducible –manifold . In this article, we prove that either the disk complex is contractible or is critical. Hence, the topological index of is if is topologically minimal.
Citation
Jungsoo Kim. "A topologically minimal, weakly reducible, unstabilized Heegaard splitting of genus three is critical." Algebr. Geom. Topol. 16 (3) 1427 - 1451, 2016. https://doi.org/10.2140/agt.2016.16.1427
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