Monoids of moduli spaces of manifolds
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Publication:982161
DOI10.2140/gt.2010.14.1243zbMath1205.55007arXiv0905.2855OpenAlexW2099945683MaRDI QIDQ982161
Oscar Randal-Williams, Søren Galatius
Publication date: 6 July 2010
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2855
Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Infinite loop spaces (55P47)
Related Items (19)
Homological stability for moduli spaces of high dimensional manifolds. II. ⋮ Book review of: B. Farb (ed.) et al., Moduli spaces of Riemann surfaces ⋮ The positive scalar curvature cobordism category ⋮ Stable homology of surface diffeomorphism groups made discrete ⋮ The space of short ropes and the classifying space of the space of long knots ⋮ Algebraic independence of generalized MMM-classes ⋮ Index theory in spaces of manifolds ⋮ The homotopy type of the topological cobordism category ⋮ The Picard group of the moduli space of \(r\)-spin Riemann surfaces ⋮ Mapping class groups of highly connected \((4k+2)\)-manifolds ⋮ A geometric interpretation of the homotopy groups of the cobordism category ⋮ The cohomology of Torelli groups is algebraic ⋮ Cohomology of automorphism groups of free groups with twisted coefficients ⋮ A note on the \((\infty,n)\)-category of cobordisms ⋮ Stable moduli spaces of high-dimensional manifolds ⋮ Cobordism categories and moduli spaces of odd dimensional manifolds ⋮ Spaces of graphs and surfaces: on the work of Søren Galatius ⋮ Semisimplicial spaces ⋮ Homological stability for spaces of embedded surfaces
Cites Work
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- Categories and cohomology theories
- The stable moduli space of Riemann surfaces: Mumford's conjecture
- Homological stability for the mapping class groups of non-orientable surfaces
- A fibre bundle description of Teichmüller theory
- A vanishing theorem for characteristic classes of odd-dimensional manifold bundles
- An infinite loop space structure on the nerve of spin bordism categories
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