منابع مشابه
Intersection Cohomology of S1-actions on Pseudomanifolds
For any smooth free action of the unit circle S in a manifold M ; the Gysin sequence of M is a long exact sequence relating the DeRham cohomologies of M and its orbit space M/S. If the action is not free then M/S is not a manifold but a stratified pseudomanifold and there is a Gysin sequence relating the DeRham cohomology of M with the intersection cohomology of M/S. In this work we extend the ...
متن کاملIntersection cohomology of the circle actions
A classical result says that a free action of the circle S on a topological space X is geometrically classified by the orbit space B and by a cohomological class e ∈ H 2 (B,Z), the Euler class. When the action is not free we have a difficult open question: Π : “Is the space X determined by the orbit space B and the Euler class?” The main result of this work is a step towards the understanding o...
متن کاملIntersection cohomology of reductive varieties
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
متن کاملHyperbolic Localization of Intersection Cohomology
For a normal variety X defined over an algebraically closed field with an action of the multiplicative group T = Gm, we consider the “hyperbolic localization” functor D(X)→ D(X ), which localizes using closed supports in the directions flowing into the fixed points, and compact supports in the directions flowing out. We show that the hyperbolic localization of the intersection cohomology sheaf ...
متن کاملQuantum Cohomology and S-actions with Isolated Fixed Points
This paper studies symplectic manifolds that admit semi-free circle actions with isolated fixed points. We prove, using results on the Seidel element [4], that the (small) quantum cohomology of a 2n dimensional manifold of this type is isomorphic to the (small) quantum cohomology of a product of n copies of P. This generalizes a result due to Tolman and Witsman [11].
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947
DOI: 10.2307/2154456