A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
Cañas, Alejandro (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)
Muñoz, Vicente (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)
Viruel Arbáizar, Antonio (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)
Rojo, Juan (Universidad Politécnica de Madrid. ETSI Ingenieros Informáticos)

Date:	2021
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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Sasakian ; K-contact ; Seifert bundle ; Smale-barden manifold ; Algebraic surface
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 615-651 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/390243
DOI: 10.5565/PUBLMAT6522107

37 p, 473.8 KB

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