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- W3136556568 abstract "Abstract The Σ-invariants of Bieri–Neumann–Strebel and Bieri–Renz involve an action of a discrete group G on a geometrically suitable space M . In the early versions, M was always a finite-dimensional Euclidean space on which G acted by translations. A substantial literature exists on this, connecting the invariants to group theory and to tropical geometry (which, actually, Σ-theory anticipated). More recently, we have generalized these invariants to the case where M is a proper CAT (0) space on which G acts by isometries. The “zeroth stage” of this was developed in our paper [BG16]. The present paper provides a higher-dimensional extension of the theory to the “ n th stage” for any n ." @default.
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- W3136556568 date "2021-03-12" @default.
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- W3136556568 title "Higher horospherical limit sets for G-modules over CAT(0)-spaces" @default.
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- W3136556568 doi "https://doi.org/10.1017/s030500412000016x" @default.
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