Abstract
AbstractWe compute the mapping class group of the manifolds $$\sharp ^g(S^{2k+1}\times S^{2k+1})$$
♯
g
(
S
2
k
+
1
×
S
2
k
+
1
)
for $$k>0$$
k
>
0
in terms of the automorphism group of the middle homology and the group of homotopy $$(4k+3)$$
(
4
k
+
3
)
-spheres. We furthermore identify its Torelli subgroup, determine the abelianisations, and relate our results to the group of homotopy equivalences of these manifolds.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献