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Cohomological Rigidity For Small Covers Over L(?)bell Polytope L(3) And L(5)

Posted on:2014-04-01Degree:MasterType:Thesis
Country:ChinaCandidate:P D HaoFull Text:PDF
GTID:2180330434972070Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
All small covers over simple convex polytope Pn are given by Γ(Pn)={M(λ)|λ∈Λ(Pn)}. In this paper, we will give a necessary and sufficient condition that tow small covers M(λ1) and M(λ2) over Lobell polytope L(3) are homeomorphic. The condition is that cohomological rings of the two small covers are isomorphic. In the meantime, part of small covers over L(5) are satisfied the same result.
Keywords/Search Tags:Cohomological rigidity, Classification, Lobell polytope L(3), Lobellpolytope L(5), Small cover
PDF Full Text Request
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