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Dirac spectral flow on contact three manifolds I: Eigensection estimates and spectral asymmetry
Let Y be a compact, oriented 3-manifold with a contact form a and a metric ds. Suppose that F → Y is a principal bundle with structure group U(2) = SU(2) ×{±1} S such that F/S is the principal SO(3) bundle of orthonormal frames for TY . A unitary connection …