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- W2949444836 abstract "Consider the ring $R:=Q[tau,tau^{-1}]$ of Laurent polynomials in the variable $tau$. The Artin's Pure Braid Groups (or Generalized Pure Braid Groups) act over $R,$ where the action of every standard generator is the multiplication by $tau$. In this paper we consider the cohomology of such groups with coefficients in the module $R$ (it is well known that such cohomology is strictly related to the untwisted integral cohomology of the Milnor fibration naturally associated to the reflection arrangement). We give a sort of textit{stability} theorem for the cohomologies of the infinite series $A$, $B$ and $D,$ finding that these cohomologies stabilize, with respect to the natural inclusion, at some number of copies of the trivial $R$-module $Q$. We also give a formula which compute this number of copies." @default.
- W2949444836 created "2019-06-27" @default.
- W2949444836 creator A5036538325 @default.
- W2949444836 date "2003-07-10" @default.
- W2949444836 modified "2023-09-27" @default.
- W2949444836 title "A stability-like theorem for cohomology of pure braid groups of the series A, B and D" @default.
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- W2949444836 hasPublicationYear "2003" @default.
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