Add to ORKGAbstract. The localization techniques for equivariant cohomology, due to Borel, Atiyah, Segal and Quillen, have proven quite useful in the study of topological transformation groups. Goresky, Kottwitz and MacPherson have generalized these methods and identified a large class of spaces for which equi-variant cohomology can be recovered explicitly from information about fixed points and one-dimensional orbits. Our main goal is to present an overview of their results. Starting with the Borel construction and its functorial proper-ties, we describe the localization theorems in the context of GKM theory. We then apply these results to the situation of algebraic torus actions. An explicit example is discussed
Abstract. Billey and Braden defined a geometric pattern map on flag manifolds which extends the gene...
AbstractSuppose X is a compact symplectic manifold acted on by a compact Lie group K (which may be n...
Let M be a manifold carrying the action of a Lie group G, and let A be a Lie algebroid on M equipped...
Abstract. We give a generalization of the Atiyah-Bott-Berline-Vergne local-ization theorem for the e...
AbstractWe give a generalization of the Atiyah–Bott–Berline–Vergne localization theorem for the equi...
Let a torus T act smoothly on a compact smooth manifold M. If the rational equivariant cohomology H^...
Abstract For a complex variety with a torus action we propose a new method of computing Chern-Schwar...
Equivariant localisation is based on exploiting certain symmetries of some systems, generally repres...
In this paper I summarize the work I have done to realize the program of Witten called non abelian l...
Let A be a Lie algebroid on a differentiable manifold M, and assume that A is equipped with an infin...
For a complex variety with a torus action we propose a new method of computing Chern-Schwartz-MacPhe...
16 pages. Completely rewritten, new title. v3: Minor changes in the expositionWe prove a localizatio...
AbstractWe give a generalization of the Atiyah–Bott–Berline–Vergne localization theorem for the equi...
(1.1). This paper concerns three aspects of the action of a compact group K on a space X. The first ...
These are lecture notes for two talks given at a seminar of the SFB-TR 12 "Sym-metries and Univ...
Abstract. Billey and Braden defined a geometric pattern map on flag manifolds which extends the gene...
AbstractSuppose X is a compact symplectic manifold acted on by a compact Lie group K (which may be n...
Let M be a manifold carrying the action of a Lie group G, and let A be a Lie algebroid on M equipped...
Abstract. We give a generalization of the Atiyah-Bott-Berline-Vergne local-ization theorem for the e...
AbstractWe give a generalization of the Atiyah–Bott–Berline–Vergne localization theorem for the equi...
Let a torus T act smoothly on a compact smooth manifold M. If the rational equivariant cohomology H^...
Abstract For a complex variety with a torus action we propose a new method of computing Chern-Schwar...
Equivariant localisation is based on exploiting certain symmetries of some systems, generally repres...
In this paper I summarize the work I have done to realize the program of Witten called non abelian l...
Let A be a Lie algebroid on a differentiable manifold M, and assume that A is equipped with an infin...
For a complex variety with a torus action we propose a new method of computing Chern-Schwartz-MacPhe...
16 pages. Completely rewritten, new title. v3: Minor changes in the expositionWe prove a localizatio...
AbstractWe give a generalization of the Atiyah–Bott–Berline–Vergne localization theorem for the equi...
(1.1). This paper concerns three aspects of the action of a compact group K on a space X. The first ...
These are lecture notes for two talks given at a seminar of the SFB-TR 12 "Sym-metries and Univ...
Abstract. Billey and Braden defined a geometric pattern map on flag manifolds which extends the gene...
AbstractSuppose X is a compact symplectic manifold acted on by a compact Lie group K (which may be n...
Let M be a manifold carrying the action of a Lie group G, and let A be a Lie algebroid on M equipped...