On the gluing problem for Dirac operators on manifolds with cylindrical ends |
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Authors: | Paul Loya Jinsung Park |
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Affiliation: | (1) Department of Mathematics, Binghamton University, Vestal Parkway East, 13902 Binghamton, NY;(2) School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, 130-722 Seoul, Korea |
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Abstract: | Combining elements of the b-calculus and the theory of elliptic boundary value problems, we solve the gluing problem for b-determinants of Dirac type operators on manifolds with cylindrical ends. As a corollary of our proof, we derive a gluing formula for the b-eta invariant and also a relative invariant formula relating the b-spectral invariants on a manifold with cylindrical end to the spectral invariants with the augmented APS boundary condition on the corresponding compact manifold with boundary. |
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Keywords: | KeywordHeading" >Math Subject Classifications 58J28 58J52 |
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