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• W2090195727 abstract "We prove an analogue of the Madsen–Weiss theorem for high-dimensional manifolds. In particular, we explicitly describe the ring of characteristic classes of smooth fibre bundles whose fibres are connected sums of g copies of Sn×Sn, in the limit g→∞. Rationally it is a polynomial ring in certain explicit generators, giving a high-dimensional analogue of Mumford’s conjecture. More generally, we study a moduli space N(P) of those null-bordisms of a fixed (2n–1)-dimensional manifold P which are (n–1)-connected relative to P. We determine the homology of N(P) after stabilisation using certain self-bordisms of P. The stable homology is identified with that of an infinite loop space." @default.
• W2090195727 created "2016-06-24" @default.
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• W2090195727 date "2014-01-01" @default.
• W2090195727 modified "2023-10-18" @default.
• W2090195727 title "Stable moduli spaces of high-dimensional manifolds" @default.
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• W2090195727 doi "https://doi.org/10.1007/s11511-014-0112-7" @default.
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