The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions
classification
🧮 math.DG
keywords
boundarycallias-typecompactindexoperatorsatiyah-patodi-singerclassicalcombination
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We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.
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