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- W4297790430 abstract "Let $X$ be a smooth compact manifold with corners which has two embedded boundary hypersurfaces $partial_0 X , partial_1 X$, and a fiber bundle $phi:partial_0 X to Y$ is given. By using the method of blowing up, we define a pseudodifferential culculus $Psi ^* _{Phi,b} (X)$ generalizing the $Phi$-calculus of Mazzeo and Melrose and the (small) $b$-calculus of Melrose. We discuss the Fredholm condition of such operators and prove the relative index theorem. And as its application, the index theorem of non-closed $mathbb{Z}/k$ - manifolds is proved." @default.
- W4297790430 created "2022-10-01" @default.
- W4297790430 creator A5028322085 @default.
- W4297790430 date "2019-07-12" @default.
- W4297790430 modified "2023-09-30" @default.
- W4297790430 title "Fibered Cusp b-Pseudodifferential Operators and its Applications" @default.
- W4297790430 doi "https://doi.org/10.48550/arxiv.1907.05578" @default.
- W4297790430 hasPublicationYear "2019" @default.
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