TY - JOUR
T1 - Equivariant cohomology and localization for Lie algebroids
JF - Funct. Anal. Appl. 43 (2009) 18-29
Y1 - 2009
A1 - Ugo Bruzzo
A1 - Lucio Cirio
A1 - Paolo Rossi
A1 - Vladimir Rubtsov
AB - Let M be a manifold carrying the action of a Lie group G, and A a Lie algebroid on M equipped with a compatible infinitesimal G-action. Out of these data we construct an equivariant Lie algebroid cohomology and prove for compact G a related localization formula. As an application we prove a Bott-type formula.
SN - 978-981-270-377-4
UR - http://hdl.handle.net/1963/1724
U1 - 2427
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - THES
T1 - Symmetries of noncommutative spaces and equivariant cohomology
Y1 - 2008
A1 - Lucio Cirio
KW - Noncommutative spaces
AB - As the title suggests, the main subject of this thesis is the study of symmetries of noncommutative spaces and related equivariant cohomologies. We focus on deformations of classical geometries coming from the action of some symmetry. A close relation between the deformation of the symmetry and the deformation of the space on which it acts is at the heart of our approach; we will use this idea to generate noncommutative geometries, and to de¯ne algebraic models for the equivariant cohomology of such actions.
PB - SISSA
UR - http://hdl.handle.net/1963/5254
U1 - 5077
U2 - Mathematics
U3 - Mathematical Physics
U4 - -1
ER -
TY - RPRT
T1 - Twisted noncommutative equivariant
Y1 - 2007
A1 - Lucio Cirio
AB - We propose Weil and Cartan models for the equivariant cohomology of covariant actions on toric deformation manifolds. The construction is based on the noncommutative Weil algebra of Alekseev and Meinrenken; we show that one can implement a Drinfeld twist of their models in order to take into account the noncommutativity of the spaces we are acting on.
UR - http://hdl.handle.net/1963/1991
U1 - 2205
U2 - Mathematics
U3 - Mathematical Physics
ER -