首页 | 本学科首页   官方微博 | 高级检索  
     


The higher derived functors of the primitive element functor of quasitoric manifolds
Authors:David Allen  Jose La Luz
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
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:ZmZn 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.
Keywords:primary, 14M25   secondary, 57N65
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号