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...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence :
American Mathematical Society,
[2019].
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Colección: | Memoirs of the American Mathematical Society.
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Temas: | |
Acceso en línea: | Texto completo |
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. |
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Descripción Física: | 1 online resource (v, 84 pages) |
Bibliografía: | Includes bibliographical references (pages 69-71) |
ISBN: | 9781470453978 1470453975 9781470453985 1470453983 |