Sheaves, principal bundles, and Čech cohomology for diffeological spaces

DOI10.1007/S11856-024-2691-0MaRDI QIDQ6660138

Jordan Watts, Seth Wolbert, Derek Krepski

Publication date: 10 January 2025

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Differential topology (57Rxx) Homology and cohomology theories in algebraic topology (55Nxx) Topological and differentiable algebraic systems (22Axx)

Cites Work

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• The \(D\)-topology for diffeological spaces
• The differential structure of an orbifold
• Orbifolds as stacks?
• Differentiable stacks and gerbes
• The diffeology of Milnor's classifying space
• Smooth classifying spaces
• Measures on differentiable stacks
• A novel approach to sheaves on diffeological spaces
• Iterated integrals of differential forms and loop space homology
• Geometry and topology of diffeological spaces
• Diffeology
• Convenient categories of smooth spaces
• Orbifolds as diffeologies
• DIFFEOLOGICAL SPACES
• Diffeological Morita Equivalence
• Diffeological coarse moduli spaces of stacks over manifolds
• Čech-de Rham bicomplex in diffeology
• Bicategories of action groupoids

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