The higher derived functors of the primitive element functor of quasitoric manifolds |
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Authors: | David Allen Jose La Luz |
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Affiliation: | a Department of Mathematics, Iona College, New Rochelle, NY 10801, United States b Department of Mathematics, University of Puerto Rico in Bayamón, Industrial Minillas 170 Car 174, Bayamón 00959-1919, Puerto Rico |
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Abstract: | Let P be an n-dimensional, q?1 neighborly simple convex polytope and let M2n(λ) be the corresponding quasitoric manifold. The manifold depends on a particular map of lattices λ:Zm→Zn where m is the number of facets of P. In this note we use ESP-sequences in the sense of Larry Smith to show that the higher derived functors of the primitive element functor are independent of λ. Coupling this with results that appear in Bousfield (1970) [3] we are able to enrich the library of nice homology coalgebras by showing that certain families of quasitoric manifolds are nice, at least rationally, from Bousfield?s perspective. |
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Keywords: | primary, 14M25 secondary, 57N65 |
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