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Witten non abelian localization for equivariant K-theory, and the [Q, R]=0 theorem /

The purpose of the present memoir is two-fold. First, the authors obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten, the authors deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Paradan, Paul-Emile (Autor), Vergne, Michèle (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, [2019].
Colección:Memoirs of the American Mathematical Society.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:The purpose of the present memoir is two-fold. First, the authors obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten, the authors deform an elliptic symbol associated to a Clifford bundle on M with a vector field associated to a moment map. Second, the authors use this general approach to reprove the [Q, R] = 0 theorem of Meinrenken-Sjamaar in the Hamiltonian case and obtain mild generalizations to almost complex manifolds. This non-abelian localization theorem can be used to obtain a geometric description of the multiplici.
Descripción Física:1 online resource (v, 84 pages)
Bibliografía:Includes bibliographical references (pages 69-71)
ISBN:9781470453978
1470453975
9781470453985
1470453983