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- W4297974682 abstract "We consider branched coverings which are simple in the sense that any point of the target has at most one singular preimage. The cobordism classes of $k$-fold simple branched coverings between $n$-manifolds form an abelian group $Cob^1(n,k)$. Moreover, $Cob^1(*,k) = bigoplus_{n=0}^{infty} Cob^1(n,k)$ is a module over $Omega^{SO}_*$. We construct a universal $k$-fold simple branched covering, and use it to compute this module rationally. As a corollary, we determine the rank of the groups $Cob^1(n,k)$. In the case $n = 2$ we compute the group $Cob^1(2,k)$, give a complete set of invariants and construct generators." @default.
- W4297974682 created "2022-10-01" @default.
- W4297974682 creator A5085570175 @default.
- W4297974682 date "2017-07-08" @default.
- W4297974682 modified "2023-10-18" @default.
- W4297974682 title "Cobordism groups of simple branched coverings" @default.
- W4297974682 doi "https://doi.org/10.48550/arxiv.1707.02450" @default.
- W4297974682 hasPublicationYear "2017" @default.
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