
doi: 10.2307/2154456
Given an action of \(S^ 1\) on a differentiable manifold \(M\) admitting fixed points. Here the quotient space \(M/S^ 1\) is a stratified pseudomanifold. The authors construct in this case the Gysin sequence, which relates the cohomology of \(M\) with the intersection cohomology of \(M/S^ 1\).
Compact Lie groups of differentiable transformations, Intersection homology and cohomology in algebraic topology, quotient space, fixed points, stratified pseudomanifold, intersection cohomology, Generalizations of fiber spaces and bundles in algebraic topology, action of \(S^ 1\) on a differentiable manifold, Gysin sequence
Compact Lie groups of differentiable transformations, Intersection homology and cohomology in algebraic topology, quotient space, fixed points, stratified pseudomanifold, intersection cohomology, Generalizations of fiber spaces and bundles in algebraic topology, action of \(S^ 1\) on a differentiable manifold, Gysin sequence
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