Correction terms, Z2-Thurston norm, and triangulations
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AbstractWe explicitly construct layered-triangulations for manifolds admitting a genus-one open book decomposition with connected binding. This construction gives an upper bound to the complexity of these manifolds. In a different direction, we show that the correction terms in Heegaard Floer homology give a lower bound to the genus of one-sided Heegaard splittings and the Z2-Thurston norm. Using a result of Jaco-Rubinstein-Tillmann, this gives a lower bound to the complexity of certain closed 3-manifolds. We illustrate our theorems with some examples.
All Author(s) ListNi Y., Wu Z.
Journal nameTopology and its Applications
Year2015
Month10
Day1
Volume Number194
PublisherElsevier BV
Place of PublicationNetherlands
Pages409 - 426
ISSN0166-8641
LanguagesEnglish-United Kingdom
KeywordsCorrection terms, Heegaard Floer homology, Layered-triangulations, Z2-Thurston norm

Last updated on 2021-16-01 at 01:08