Sphere fibrations over highly connected manifolds

We construct sphere fibrations over (n-1)$(n-1)$-connected 2n$2n$-manifolds such that the total space is a connected sum of sphere products. More precisely, for n$n$ even, we construct fibrations Sn-1 ->#k-1(SnxS2n-1)-> Mk$S<^>{n-1} \rightarrow \#<^>{k-1}(S<^>n \times S<^>{2n-1}) \rightarrow M_k$, where Mk$M_k$ is a (n-1)$(n-1)$-connected 2n$2n$-dimensional Poincar & eacute; duality complex that satisfies Hn(Mk)congruent to Zk$H_n(M_k)\cong {\mathbb {Z}}<^>k$, in a localised category of spaces. The construction of the fibration is proved for k >= 2$k\geqslant 2$, where the prime 2, and the primes that occur as torsion in pi 2n-1(Sn)$\pi _{2n-1}(S<^>n)$ are inverted. In specific cases, by either assuming n$n$ is small, or assuming k$k$ is large we can reduce the number of primes that need to be inverted. Integral results are obtained for n=2$n=2$ or 4, and if k$k$ is bigger than the number of cyclic summands in the stable stem pi n-1s$\pi _{n-1}<^>s$, we obtain results after inverting 2. Finally, we prove some applications for fibrations over N#Mk$N\# M_k$, and for looped configuration spaces.