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    THE DIRAC SPECTRUM

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    891848

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    This overview is based on the talk [101] given at the mini-workshop 0648c "Dirac operators in diferential and non-commutative geometry", Mat- matisches Forschungsinstitut Oberwolfach. Intended for non-specialists, it explores the spectrum of the fundamental Dirac operator on Riemannian spin manifolds, including recent research and open problems. No background in spin geometry is required; nevertheless the reader is assumed to be fam- iar with basic notions of di?erential geometry (manifolds, Lie groups, vector and principal bundles, coverings, connections, and di?erential forms). The surveys [41, 132], which themselves provide a very good insight into closed manifolds, served as the starting point. We hope the content of this book re?ects the wide range of ?ndings on and sometimes amazing applications of the spin side of spectral theory and will attract a new audience to the topic. vii Acknowledgements TheauthorwouldliketothanktheMathematischesForschungsinstitutOb- wolfach for its friendly hospitality and stimulating atmosphere, as well as the organizers and all those who participated in the mini-workshop. This s- vey would not have been possible without the encouragement and advice of Christian B¨ ar and Oussama Hijazi as well as the support of the German Research Foundation's Sonderforschungsbereich 647 "Raum, Zeit, Materie. Analytische und geometrische Strukturen" (Collaborative Research Center 647/Space, Time and Matter. Analytical and Geometric Structures). We would also like to thank Bernd Ammann and Nadine Große for their enlig- eningdiscussions and usefulreferences.
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    ISBN9783642015694
    Pré vendaNão
    Peso300g
    Autor para link
    Livro disponível - pronta entregaNão
    Dimensões23.5 x 15.5 x 1
    IdiomaInglês
    Tipo itemLIVRO IMPORTADO ADQ MERC INTERNO
    Número de páginas180
    Número da edição1ª EDIÇÃO - 2009
    Código Interno891848
    Código de barras9783642015694
    AcabamentoPAPERBACK
    AutorGINOUX, NICOLAS
    EditoraSPRINGER
    Sob encomendaSim
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