Surgery and harmonic spinors
Copyright policy )Surgery and harmonic spinors
Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and χ. We show that for generic metrics on M this bound is attained.
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- University of Lorraine France
- University of Regensburg Germany
- KUNGLIGA TEKNISKA HOEGSKOLAN Sweden
- UNIVERSITE DE NANCY II France
- Institut Élie Cartan de Lorraine France
Mathematics - Differential Geometry, Mathematics(all), Dirac operator, Eigenvalue, Spin and Spin\({}^c\) geometry, surgery, Differential Geometry (math.DG), 53C27 (Primary) 55N22, 57R65 (Secondary), FOS: Mathematics, eigenvalue, Surgery, Bordism and cobordism theories and formal group laws in algebraic topology, Surgery and handlebodies
Mathematics - Differential Geometry, Mathematics(all), Dirac operator, Eigenvalue, Spin and Spin\({}^c\) geometry, surgery, Differential Geometry (math.DG), 53C27 (Primary) 55N22, 57R65 (Secondary), FOS: Mathematics, eigenvalue, Surgery, Bordism and cobordism theories and formal group laws in algebraic topology, Surgery and handlebodies
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