Cohomological localization for manifolds with boundary

Mathematics – Differential Geometry

Scientific paper

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14 pages

Scientific paper

For an $S^{1}$-manifold with boundary, we prove a localization formula
applying to any equivariant cohomology theory satisfying a certain algebraic
condition. We show how the localization result of Kalkman and a case of the
quantization commutes with reduction theorem follow easily from the
localization formula.

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