A novel approach to the cohomology of symplectic quotients

We develop a novel approach to the topology of singular symplectic quotients by extending Sjamaar’s complex of differential forms to the complex of resolution differential forms. The motivation for this is to extend Sjamaar’s complex in a way which makes the definition of a Kirwan map possible. I...

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Bibliographic Details

Main Author:	Schmitt, Maximilian Lukas
Contributors:	Ramacher, Pablo (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2023
Subjects:	equivariant cohomology Kirwan map äquivariante Aufblasungen symplectic reduction Symplectic geometry Symplektische Geometrie equivariant blow-up Äquivariante Kohomologie Kirwan Abbildung Symplektische Reduktion Mathematik Mathematics
Online Access:	PDF Full Text
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