A K-contact simply connected 5-manifold with no semi-regular Sasakian structure

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Title:	A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
Author:	Cañas, Alejandro; Muñoz, Vicente; Viruel Arbáizar, Antonio; Rojo, Juan
Abstract:	We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit any semi-regular Sasakian structure. For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic surfaces spanning the homology, all of them of genus 1 except for one of genus g > 1; (b) to prove a bound on the second Betti number b2 of an algebraic surface with b1 = 0 and having disjoint complex curves spanning the homology, all of them of genus 1 except for one of genus g > 1.
Subject(s):	-Sasakian -K-contact -Seifert bundle -Smale-barden manifold -Algebraic surface
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/248607