RT Journal Article
T1 On formality of Sasakian manifolds
A1 Biswas, Indranil
A1 Fernandez, Marisa
A1 Muñoz, Vicente
A1 Tralle, Aleksy
AB We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vanish. Hence, higher Massey products do obstruct Sasakian structures. Using this, we produce a method of constructing simply connected K-contact non-Sasakian manifolds. On the other hand, for every n > 3, we exhibit the first examples of simply connected compact Sasakian manifolds of dimension 2n + 1 that are non-formal. They are non-formal because they have a non-zero triple Massey product. We also prove that arithmetic lattices in some simple Lie groups cannot be the fundamental group of a compact Sasakian manifold.
PB Oxford Univ. Press.
SN 1753-8416
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24465
UL https://hdl.handle.net/20.500.14352/24465
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO J. C. Bose Fellowship
NO UPV/EHU
NO ESF Research Networking Programme CAST (Contact and Symplectic Topology)
DS Docta Complutense
RD 5 abr 2025