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Differential geometry of singular spaces and reduction of symmetry / Jędrzej Śniatycki.

By: Śniatycki, JędrzejMaterial type: TextTextSeries: New mathematical monographs ; 23.Publication details: Cambridge : Cambridge University Press, 2013. Description: 1 online resource (xii, 235 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107055599; 1107055598; 9781139136990; 1139136992; 9781107059054; 1107059054; 9781299706606; 1299706606; 9781107057807; 1107057809Subject(s): Geometry, Differential | Function spaces | Symmetry (Mathematics) | MATHEMATICS -- Topology | MATHEMATICS -- Geometry -- Differential | Function spaces | Geometry, Differential | Symmetry (Mathematics)Genre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Differential geometry of singular spaces and reduction of symmetry.DDC classification: 516.3/6 LOC classification: QA641 | .S55 2013ebOther classification: MAT038000 Online resources: Click here to access online
Contents:
Preface -- 1. Introduction -- Part I. Differential geometry of singular spaces. 2. Differential structures ; 3. Derivations ; 4. Stratified spaces ; 5. Differential forms -- Part II. Reduction of symmetries. 6. Symplectic reduction ; 7. Commutation of quantization and reduction ; 8. Further examples of reduction -- References -- Index.
Summary: "In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"-- Provided by publisher.
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Includes bibliographical references and index.

Preface -- 1. Introduction -- Part I. Differential geometry of singular spaces. 2. Differential structures ; 3. Derivations ; 4. Stratified spaces ; 5. Differential forms -- Part II. Reduction of symmetries. 6. Symplectic reduction ; 7. Commutation of quantization and reduction ; 8. Further examples of reduction -- References -- Index.

"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"-- Provided by publisher.

Print version record.

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