Sasakian nilmanifolds
 
 
Description:  Sullivan's theory of models can be used to get topological invariants of manifolds that are stronger than the de Rham cohomology ring.

One defines a model for a manifold as a commutative differential graded algebra (CDGA) quasi-isomorphic to the algebra of differential forms. It is known that the minimal model of a compact nilmanifold is given by the Chevalley-Eilenberg complex of the corresponding Lie algebra. Recently, in his PhD thesis A. Tievsky constructed a finite-dimensional model of a compact Sasakian manifold. Comparing models for nilmanifolds and Sasakian manifolds, we give a classification of compact Sasakian nilmanifolds.

This is joint work with B. Cappelletti-Montano, J. C. Marrero and I. Yudin.

Date:  2015-02-19
Start Time:   14:30
Speaker:  Antonio De Nicola (CMUC, Univ. Coimbra)
Institution:  CMUC, Univ. Coimbra
Place:  Sala 5.5
Research Groups: -Geometry
See more:   <Main>  
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support