arXiv Open Access 2024

Global spaces and the homotopy theory of stacks

Adrian Clough Bastiaan Cnossen Sil Linskens

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Abstrak

We show that the $\infty$-category of global spaces is equivalent to the homotopy localization of the $\infty$-category of sheaves on the site of separated differentiable stacks, following a philosophy proposed by Gepner-Henriques. We further prove that this $\infty$-category of sheaves is a cohesive $\infty$-topos and that it fully faithfully contains the singular-cohesive $\infty$-topos of Sati-Schreiber.

Topik & Kata Kunci

math.AT

Penulis (3)

Adrian Clough

Bastiaan Cnossen

Sil Linskens

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APA MLA BibTeX

Clough, A., Cnossen, B., Linskens, S. (2024). Global spaces and the homotopy theory of stacks. https://arxiv.org/abs/2407.06877

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓