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- W2258266268 abstract "Let $(M,psi)$ be a $(2n+1)$-dimensional oriented closed manifold equipped with a pseudo-free $S^1$-action $psi : S^1 times M rightarrow M$. We first define a textit{local data} $mathcal{L}(M,psi)$ of the action $psi$ which consists of pairs $(C, (p(C) ; overrightarrow{q}(C)))$ where $C$ is an exceptional orbit, $p(C)$ is the order of isotropy subgroup of $C$, and $overrightarrow{q}(C) in (mathbb{Z}_{p(C)}^{times})^n$ is a vector whose entries are the weights of the slice representation of $C$. In this paper, we give an explicit formula of the Chern number $langle c_1(E)^n, [M/S^1] rangle$ modulo $mathbb{Z}$ in terms of the local data, where $E = M times_{S^1} mathbb{C}$ is the associated complex line orbibundle over $M/S^1$. Also, we illustrate several applications to various problems arising in equivariant symplectic topology." @default.
- W2258266268 created "2016-06-24" @default.
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- W2258266268 date "2019-01-01" @default.
- W2258266268 modified "2023-09-26" @default.
- W2258266268 title "On the Chern numbers for pseudo-free circle actions" @default.
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- W2258266268 doi "https://doi.org/10.4310/jsg.2019.v17.n1.a1" @default.
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