Correction terms, Z2-Thurston norm, and triangulations
نویسندگان
چکیده
We show that the correction terms in Heegaard Floer homology give a lower bound to the 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. As an application, we compute the Z2–Thurston norm of the double branched cover of some closed 3–braids, and give upper and lower bounds for the complexity of these manifolds.
منابع مشابه
ar X iv : 0 90 6 . 48 64 v 1 [ m at h . G T ] 2 6 Ju n 20 09 ZZ 2 – Thurston Norm and Complexity of 3 – Manifolds
A new lower bound on the complexity of a 3–manifold is given using the ZZ2 –Thurston norm. This bound is shown to be sharp, and the minimal triangulations realising it are characterised using normal surfaces consisting entirely of quadrilateral discs. AMS Classification 57M25, 57N10
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تاریخ انتشار 2014