The diffeology of Milnor's classifying space

DOI10.1016/j.topol.2017.10.011zbMath1457.53014arXiv1606.06680OpenAlexW2461505628MaRDI QIDQ1676533

Jean-Pierre Magnot, Jordan Alan Watts

Publication date: 9 November 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06680

zbMATH Keywords

classifying spaceLie groupdiffeologyuniversal bundlediffeological group

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Connections (general theory) (53C05) Differentiability questions for infinite-dimensional manifolds (58B10) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (11)

Smooth constructions of homotopy-coherent actions ⋮ On diffeological principal bundles of non-formal pseudo-differential operators over formal ones ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ Finite-dimensional diffeological vector spaces being and not being coproducts ⋮ On the domain of implicit functions in a projective limit setting without additional norm estimates ⋮ Exterior bundles in diffeology ⋮ Simplicial cochain algebras for diffeological spaces ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ Smooth classifying spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basic forms and orbit spaces: a diffeological approach
• Diffeological vector pseudo-bundles
• On \(\mathrm{Diff}(M)\)-pseudo-differential operators and the geometry of non linear Grassmannians
• The \(D\)-topology for diffeological spaces
• The orientation-preserving diffeomorphism group of \({\mathbb{S}^{2}}\) deforms to SO(3) smoothly
• Construction of universal bundles. II
• Algebraic topology
• Cohomology of symplectomorphism groups and critical values of Hamiltonians
• The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations
• The group of diffeomorphisms of a non-compact manifold is not regular
• The trilogy of the momentum map
• Prequantization and Lie brackets
• AMBROSE–SINGER THEOREM ON DIFFEOLOGICAL BUNDLES AND COMPLETE INTEGRABILITY OF THE KP EQUATION
• Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups
• Tangent spaces of bundles and of filtered diffeological spaces
• The Geometry of Infinite-Dimensional Groups
• Category Theory
• Tangent spaces and tangent bundles for diffeological spaces

This page was built for publication: The diffeology of Milnor's classifying space