Introduces relative eta invariants for Dirac operators coinciding at infinity on non-compact manifolds with bounded curvature, yielding a spectral flow formula, a new proof of a Gromov-Lawson result, and an APS index theorem generalization to non-compact boundaries.
Shi, The relative eta invariant for a pair of Dirac-type operator s on non-compact manifolds , Indiana Univ
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Relative eta invariant and uniformly positive scalar curvature on non-compact manifolds
Introduces relative eta invariants for Dirac operators coinciding at infinity on non-compact manifolds with bounded curvature, yielding a spectral flow formula, a new proof of a Gromov-Lawson result, and an APS index theorem generalization to non-compact boundaries.