For a closed, spin, odd dimensional Riemannian manifold (Y,g), we define the rho invariant *\rho_{spin}(Y,\E,H, [g])* for the twisted Dirac operator D^E_H on Y, acting on sections of a flat hermitian vector bundle E over Y, where H = \sum i^{j+1} H_{2j+1} is an odd-degree closed differential form on Y... Show more

January 21, 2013

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Conformal invariants of twisted Dirac operators and positive scalar curvature

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