Orbifold bordism and duality for finite orbispectra
DOI10.2140/gt.2023.27.1747arXiv2006.12702OpenAlexW3035926938MaRDI QIDQ6138567
Publication date: 5 September 2023
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.12702
equivariant bordismstable homotopy theorySpanier-Whitehead dualityPontryagin-Thom constructionorbispacesglobal homotopy theoryorbifold bordismorbispectra
Equivariant fiber spaces and bundles in algebraic topology (55R91) Equivariant algebraic topology of manifolds (57R91) Stable homotopy theory, spectra (55P42) Equivariant homology and cohomology in algebraic topology (55N91) Equivariant homotopy theory in algebraic topology (55P91) Equivariant cobordism (57R85) Equivariant homotopy groups (55Q91) Spanier-Whitehead duality (55P25) Duality in algebraic topology (55M05) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homotopy types of topological stacks
- Complex cobordism of quasitoric orbifolds
- Construction of universal bundles. I
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Orbittypen und äquivariante Homologie. II
- Mapping Hilbert cube manifolds to ANR's: A solution of a conjecture of Borsuk
- Oriented orbifold cobordism
- The cobordism of oriented three dimensional orbifolds
- A comparison of two models of orbispaces
- The Tate spectrum \(v_ n\)-periodic complex oriented theories
- Orbispaces, orthogonal spaces, and the universal compact Lie group
- Oriented orbifold vertex groups and cobordism and an associated differential graded algebra
- Bordism of \(G\)-manifolds and integrality theorems
- Equivariant differential topology
- Stable equivariant bordism
- Quelques propriétés globales des variétés différentiables
- Smooth manifolds and their applications in homotopy theory
- Invariance of Torsion and the Borsuk Conjecture
- Uniformization of Deligne-Mumford curves
- A spectral sequence for orbifold cobordism
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Global Homotopy Theory
- Enough vector bundles on orbispaces
- On the triangulation of manifolds and the Hauptvermutung
- Combinatorial homotopy. I
- Duality in homotopy theory
This page was built for publication: Orbifold bordism and duality for finite orbispectra