On orbit configuration spaces associated to the Gaussian integers: Homotopy and homology groups

DOI10.1016/S0166-8641(01)00039-6zbMath0992.55016MaRDI QIDQ5960425

Miguel A. Xicoténcatl, Frederick R. Cohen

Publication date: 7 April 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

loop spacelower central seriesintegral lattice

Mathematics Subject Classification ID

Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Other groups related to topology or analysis (20F38) Derived series, central series, and generalizations for groups (20F14) Homotopy groups of special spaces (55Q52)

Related Items (7)

Orbit configuration spaces of small covers and quasi-toric manifolds ⋮ Homotopy Lie algebras; lower central series and the Koszul property ⋮ On the homotopy fibre of the inclusion map \(F_n(X)\hookrightarrow \prod _1^nX\) for some orbit spaces \(X\) ⋮ A survey of the homotopy properties of inclusion of certain types of configuration spaces into the Cartesian product ⋮ Algebraic invariants of orbit configuration spaces in genus zero associated to finite groups ⋮ On loop spaces of configuration spaces ⋮ Orbit configuration spaces associated to discrete subgroups of \(\mathrm{PSL}(2,\mathbb R)\)

Cites Work

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• The lower central series of a fiber-type arrangement
• The homology of iterated loop spaces
• The space of loops on configuration spaces and the Majer-Terracini index
• Elliptic KZ system, braid group of the torus and Vassiliev invariants
• On configuration spaces, their homology, and Lie algebras
• Monodromy of fiber-type arrangements and orbit configuration spaces
• Configuration Spaces.

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