Cohomological localization for manifolds with boundary

1999/07/31 by David S. Metzler, Metzler, David S.
Computer Science · Mathematics · #19L47 #53C15 #55N91 #57S15 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.AT #math.DG #math.SG #msc:19L47 #msc:53C15 #msc:55N91 #msc:57S15

paper · pdf · doi:10.48550/arxiv.math/9908002

14 pages

arxiv created 1999/07/31 · openalex publication_date 1999/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an S¹-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.

Citations

• A K-Theoretic Note on Geometric Quantization

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