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• W1848923145 abstract "The Dwyer-Fried invariants of a finite cell complex X are the subsets Omega^i_r(X) of the Grassmannian of r-planes in H^1(X,Q) which parametrize the regular Z^r-covers of X having finite Betti numbers up to degree i. In previous work, we showed that each Omega-invariant is contained in the complement of a union of Schubert varieties associated to a certain subspace arrangement in H^1(X,Q). Here, we identify a class of spaces for which this inclusion holds as equality. For such straight spaces X, all the data required to compute the Omega-invariants can be extracted from the resonance varieties associated to the cohomology ring H^*(X,Q). In general, though, translated components in the characteristic varieties affect the answer." @default.
• W1848923145 created "2016-06-24" @default.
• W1848923145 creator A5007912010 @default.
• W1848923145 date "2019-03-07" @default.
• W1848923145 modified "2023-10-06" @default.
• W1848923145 title "Resonance varieties and Dwyer–Fried invariants" @default.
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• W1848923145 doi "https://doi.org/10.2969/aspm/06210359" @default.
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