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- W1544657951 abstract "Thom-Pontrjagin constructions are used to give a computable necessary and sufficient condition when a homomorphism $phi : H^n(L;Z)to H^n(M;Z)$ can be realized by a map $f:Mto L$ of degree $k$ for closed $(n-1)$-connected $2n$-manifolds $M$ and $L$, $n>1$. A corollary is that each $(n-1)$-connected $2n$-manifold admits selfmaps of degree larger than 1, $n>1$. In the most interesting case of dimension 4, with the additional surgery arguments we give a necessary and sufficient condition for the existence of a degree $k$ map from a closed orientable 4-manifold $M$ to a closed simply connected 4-manifold $L$ in terms of their intersection forms, in particular there is a map $f:Mto L$ of degree 1 if and only if the intersection form of $L$ is isomorphic to a direct summand of that of $M$." @default.
- W1544657951 created "2016-06-24" @default.
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- W1544657951 date "2004-02-08" @default.
- W1544657951 modified "2023-09-27" @default.
- W1544657951 title "Non-zero degree maps between $2n$-manifolds" @default.
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