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Microlocal Methods in Mathematical Physics and Global Analysis pp 59–62Cite as

Birkhäuser

Generalized Blow-Up of Corners and Fiber Products

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Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

Consider the category of manifolds with corners and interior b-maps f : X → Y.

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Notes

  1. 1.

    Here ρ H is a boundary defining function for H – a nonnegative smooth function vanishing simply and exactly on H.

  2. 2.

    We only consider the blow-up of boundary faces and its subsequent generalization, leaving the situation of general submanifolds to a future work.

  3. 3.

    The ρ i are boundary defining functions for the hypersurfaces through F defined in a neighborhood.

Author information

Authors and Affiliations

  1. Brown University, Providence, USA

    Chris Kottke

  2. Department of Mathematics, MIT, Cambridge, MA, USA

    Richard Melrose

Authors
  1. Chris Kottke
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  2. Richard Melrose
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Corresponding author

Correspondence to Chris Kottke .

Editor information

Editors and Affiliations

  1. Ammerländer Heerstr. 114-118, Oldenburg, 26111, Germany

    Daniel Grieser

  2. Inst. Mathematik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany

    Stefan Teufel

  3. , Department of Mathematics, Bldg. 380, Stanford University, 450, Serra Mall, Stanford, 94305-2125, California, USA

    Andras Vasy

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Kottke, C., Melrose, R. (2013). Generalized Blow-Up of Corners and Fiber Products. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_13

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