Abstract.
In the context of Connes' noncommutative geometry, eigenvalue inequalities of the type discovered by Vafa and Witten are shown to be a characteristic feature of those spectral geometric spaces of finite topological type that satisfy rational Poincaré duality in K-theory.
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Received: 7 July 1996 / Accepted: 23 September 1996
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Moscovici, H. Eigenvalue Inequalities and Poincar\'{e} Duality in Noncommutative Geometry . Comm Math Phys 184, 619–628 (1997). https://doi.org/10.1007/s002200050076
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DOI: https://doi.org/10.1007/s002200050076