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math.DG1999
Real embeddings and the Atiyah-Patodi-Singer index theorem for Dirac operators
Xianzhe Dai, Weiping Zhang
We present the details of our embedding proof of the Atiyah-Patodi-Singer index theorem for Dirac operators on manifolds with boundary.
math.DG1999
Analytic Torsion and R-Torsion for Manifolds with Boundary
Xianzhe Dai, Hao Fang
We prove a formula relating the analytic torsion and Reidemeister torsion on manifolds with boundary in the general case when the metric is not necessarily a product near the bound…