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archive
8183
lost+found/00/03/75/72
2016-05-11 11:17:35
2018-12-12 15:12:46
2016-05-11 11:17:35
article
show
-
Biswas
Indranil
indranil@math.tifr.res.in
-
Fernandez
Marisa
marisa.fernandez@ehu.es
-
Muñoz
Vicente
vicente.munoz@mat.ucm.es
-
Tralle
Aleksy
tralle@matman.uwm.edu.pl
On formality of Sasakian manifolds
pub
- A_17_378
- 514
- 257
Sasakian manifold; Formality; Massey product.
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.
2016
published
Oxford Univ. Press.
http://dx.doi.org/10.1112/jtopol/jtv044
http://jtopol.oxfordjournals.org/content/early/2016/01/07/jtopol.jtv044.abstract#
INVESTIGACION
buc_mat@buc.ucm.es
public
Journal of Topology
9
1
161-180
TRUE
1753-8416
-
http://jtopol.oxfordjournals.org
pub
- Ministerio de Ciencia e Innovación (MICINN)
- J. C. Bose Fellowship
- UPV/EHU
- ESF Research Networking Programme CAST (Contact and Symplectic Topology)
- MTM2011-28326-C02-02
- MTM2010-17389
- UFI11/52