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- W3136100185 abstract "We produce new cohomology for non-uniform arithmetic lattices $Gamma < mathrm {SO}(p,q)$ using a technique of Millson–Raghunathan. From this, we obtain new characteristic classes of manifold bundles with fiber a closed $4k$-dimensional manifold $M$ with indefinite intersection form of signature $(p,q)$. These classes are defined on finite covers of $B$ Diff $(M)$ and are shown to be nontrivial for $M=#_g(S^{2k}times S^{2k})$. In this case, the classes produced live in degree $g$ and are independent from the algebra generated by the stable (i.e. MMM) classes. We also give an application to bundles with fiber a K3 surface." @default.
- W3136100185 created "2021-03-29" @default.
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- W3136100185 date "2021-03-12" @default.
- W3136100185 modified "2023-09-25" @default.
- W3136100185 title "Geometric cycles and characteristic classes of manifold bundles" @default.
- W3136100185 doi "https://doi.org/10.4171/cmh/505" @default.
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