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• W2300965264 endingPage "2048" @default.
• W2300965264 startingPage "2015" @default.
• W2300965264 abstract "We study relations among characteristic classes of smooth manifold bundles with highly-connected fibers. For bundles with fiber the connected sum of $g$ copies of a product of spheres $S^d times S^d$ and an odd $d$, we find numerous algebraic relations among the so-called generalized Miller-Morita-Mumford classes. For all $g > 1$, we show that these infinitely many classes are algebraically generated by a finite subset. Our results contrast with the fact that there are no algebraic relations among these classes in a range of cohomological degrees that grows linearly with $g$, according to recent homological stability results. In the case of surface bundles ($d=1$), our approach recovers some previously known results about the structure of the classical tautological ring, as introduced by Mumford, using only the tools of algebraic topology." @default.
• W2300965264 created "2016-06-24" @default.
• W2300965264 creator A5026899499 @default.
• W2300965264 date "2017-05-19" @default.
• W2300965264 modified "2023-09-25" @default.
• W2300965264 title "Relations among characteristic classes of manifold bundles" @default.
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• W2300965264 doi "https://doi.org/10.2140/gt.2017.21.2015" @default.
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