Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi

Higher orbifolds and Deligne-Mumford stacks as structured infinity-topoi / David Joseph Carchedi.

The author develops a universal framework to study smooth higher orbifolds on the one hand and higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other, and use this framework to obtain a completely categorical description of which stacks arise as the functor of po...

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Bibliographic Details
Main Author: Carchedi, David Joseph (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [2020]
Series:Memoirs of the American Mathematical Society ; no. 1282.
Subjects:
Toposes.
Categories (Mathematics)
Orbifolds.
Categorías (Matemáticas)
Topos (Matemáticas)
Orbifolds
Toposes
Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for.
Algebraic geometry > Families, fibrations > Stacks and moduli problems.
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} > General theory of differentiable manifolds [See also 32Cxx]
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