dc.contributor.author |
Cañas, Alejandro |
dc.contributor.author |
Muñoz, Vicente |
dc.contributor.author |
Viruel Arbáizar, Antonio |
dc.contributor.author |
Rojo, Juan |
dc.date |
2021 |
dc.identifier |
https://ddd.uab.cat/record/248607 |
dc.identifier |
urn:oai:ddd.uab.cat:248607 |
dc.identifier |
urn:oai:raco.cat:article/390243 |
dc.identifier |
urn:articleid:20144350v65n2p615 |
dc.format |
application/pdf |
dc.language |
cat |
dc.publisher |
|
dc.relation |
; |
dc.relation |
Publicacions matemàtiques ; Vol. 65 Núm. 2 (2021), p. 615-651 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Sasakian |
dc.subject |
K-contact |
dc.subject |
Seifert bundle |
dc.subject |
Smale-barden manifold |
dc.subject |
Algebraic surface |
dc.title |
A K-contact simply connected 5-manifold with no semi-regular Sasakian structure |
dc.type |
Article |
dc.description.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. |