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- W1484025221 abstract "We inspect the BNSR-invariants $Sigma^m(P_n)$ of the pure braid groups $P_n$, using Morse theory. The BNS-invariants $Sigma^1(P_n)$ were previously computed by Koban, McCammond and Meier. We prove that for any $3le mle n$, the inclusion $Sigma^{m-2}(P_n)subseteq Sigma^{m-3}(P_n)$ is proper, but $Sigma^infty(P_n)=Sigma^{n-2}(P_n)$. We write down explicit character classes in each relevant $Sigma^{m-3}(P_n)setminus Sigma^{m-2}(P_n)$. In particular we get examples of normal subgroups $Nle P_n$ with $P_n/Ncongmathbb{Z}$ such that $N$ is of type $F_{m-3}$ but not $F_{m-2}$, for all $3le mle n$." @default.
- W1484025221 created "2016-06-24" @default.
- W1484025221 creator A5019208275 @default.
- W1484025221 date "2015-07-30" @default.
- W1484025221 modified "2023-09-27" @default.
- W1484025221 title "Separation in the BNSR-invariants of the pure braid groups" @default.
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- W1484025221 hasPublicationYear "2015" @default.
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