Mod 2 cohomology ring of a kind of orbit configuration space

2018/12/25 by Hao Li, Li, Hao
Mathematics · #55R80(Primary) 14N20(Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.1812.10104

8 pages

arxiv created 2018/12/25 · arxiv updated 2018/12/27

Abstract

In this paper we caculate mod 2 cohomology ring of F_ℤ2^m(ℝ^m,n) , which is local representation of orbit congfiguration spaces over small covers. We construct a differntial graded algebra, and there is a ring isomorphism between its mod 2 cohomology ring and H^*(F_ℤ2^m(ℝ^m,n),ℤ₂). This idea can also be applied to calculate mod 2 cohomology ring of complement space of real arrangements.

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