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Titlebook: Metric and Differential Geometry; The Jeff Cheeger Ann Xianzhe Dai,Xiaochun Rong Conference proceedings 2012 Springer Basel 2012 K-theory i

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Progress in Mathematicshttp://image.papertrans.cn/m/image/632471.jpg
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https://doi.org/10.1007/978-3-0348-0257-4K-theory in geometry; distance geometry; global differential geometry
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Adiabatic Limit, Heat Kernel and Analytic TorsionWe study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion.
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Transversal Index and L2-index for Manifolds with BoundaryFor manifolds with boundary, we present a self-contained proof of Braverman’s result which gives an alternative interpretation of the transversal index through certain kind of L.-indices.
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Metric and Differential Geometry978-3-0348-0257-4Series ISSN 0743-1643 Series E-ISSN 2296-505X
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