%0 Journal Article
%J Funct. Anal. Appl. 43 (2009) 18-29
%D 2009
%T Equivariant cohomology and localization for Lie algebroids
%A Ugo Bruzzo
%A Lucio Cirio
%A Paolo Rossi
%A Vladimir Rubtsov
%X 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.
%B Funct. Anal. Appl. 43 (2009) 18-29
%@ 978-981-270-377-4
%G en_US
%U http://hdl.handle.net/1963/1724
%1 2427
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-01-26T15:10:18Z\\nNo. of bitstreams: 1\\nmathDG0506392.pdf: 223181 bytes, checksum: bb9437e12cfd3d7cc5c14904aaeebe7d (MD5)
%R 10.1007/s10688-009-0003-4
%0 Thesis
%D 2008
%T Symmetries of noncommutative spaces and equivariant cohomology
%A Lucio Cirio
%K Noncommutative spaces
%X 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.
%I SISSA
%G en
%U http://hdl.handle.net/1963/5254
%1 5077
%2 Mathematics
%3 Mathematical Physics
%4 -1
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2012-01-23T08:57:48Z\\nNo. of bitstreams: 1\\nPhD_Cirio.pdf: 579480 bytes, checksum: 59e7b02846b913cd48e3c84e1e9a2bea (MD5)
%0 Report
%D 2007
%T Twisted noncommutative equivariant
%A Lucio Cirio
%X 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.
%G en_US
%U http://hdl.handle.net/1963/1991
%1 2205
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-08-09T12:36:58Z\\nNo. of bitstreams: 1\\nmathQA0706.3602v2.pdf: 303765 bytes, checksum: 74571e1a7df81268457a3ae54726fd75 (MD5)