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- W3084749249 abstract "In this paper we compute the mapping class group of closed simply-connected 6-manifolds $M$ which look like complete intersections, i.~e.~$H^2(M;mathbb Z) = mathbb Z cdot x$ with $x^3 ne 0$. We prove some algebraic properties of the mapping class group, like for example we compute the abelianization and the center. We show that modulo the center the mapping class group is residually finite and virtually torsion-free. We also study low dimensional homology groups. The results are very similar to the computation of the mapping class group of Riemann surfaces. We give generators of the mapping class group, and generators and relations for the subgroup acting trivially on $pi_{3}(M)$." @default.
- W3084749249 created "2020-09-21" @default.
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- W3084749249 date "2020-09-17" @default.
- W3084749249 modified "2023-10-16" @default.
- W3084749249 title "Mapping class group of manifolds which look like $3$-dimensional complete intersections" @default.
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- W3084749249 doi "https://doi.org/10.48550/arxiv.2009.08054" @default.
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