In this note we study the equivariant cohomology with compact supports of the zeroes of the moment map for the cotangent bundle of a linear representation of a torus and some of its notable subsets, using the theory of the infinitesimal index, developed in [8]. We show that, in analogy to the case of equivariant K-theory dealt with in [7] using the index of transversally elliptic operators, we obtain isomorphisms with notable spaces of splines studied in [2], [3]. © 2011 Birkhäuser Boston.
Infinitesimal index: cohomology computations / DE CONCINI, Corrado; Procesi, Claudio; M., Vergne. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - STAMPA. - 16:3(2011), pp. 717-735. [10.1007/s00031-011-9144-7]
Infinitesimal index: cohomology computations
DE CONCINI, Corrado;PROCESI, Claudio;
2011
Abstract
In this note we study the equivariant cohomology with compact supports of the zeroes of the moment map for the cotangent bundle of a linear representation of a torus and some of its notable subsets, using the theory of the infinitesimal index, developed in [8]. We show that, in analogy to the case of equivariant K-theory dealt with in [7] using the index of transversally elliptic operators, we obtain isomorphisms with notable spaces of splines studied in [2], [3]. © 2011 Birkhäuser Boston.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
