arXiv Open Access 2022

Products of manifolds with fibered corners

Chris Kottke Frédéric Rochon

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Abstrak

Manifolds with fibered corners arise as resolutions of stratified spaces, in many body compactifications of vector spaces, moduli spaces, and other settings. We define a category of fibered corners manifolds which has products and transverse fiber products, generalizing both the resolutions of products of stratified spaces and many body products, which are special cases. The product in the fibered corners category is a resolution of the cartesian product by blow-up which we call the 'ordered product'. This ordered product is a natural product for wedge (aka incomplete edge) metrics and quasi-fibered boundary metrics, a class which includes QAC and QALE metrics.

Topik & Kata Kunci

math.DG

Penulis (2)

Chris Kottke

Frédéric Rochon

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APA MLA BibTeX

Kottke, C., Rochon, F. (2022). Products of manifolds with fibered corners. https://arxiv.org/abs/2206.07262

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Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓