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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.