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Mod 2 Cohomology Ring of a Kind of Orbit Configuration Space by Li, Hao is a scholarly article available to read on EtoBox.

What is Mod 2 Cohomology Ring of a Kind of Orbit Configuration Space about?

In this paper we caculate mod 2 cohomology ring of $F_{\mathbb{Z}_2^m}(\mathbb{R}^m,n)$ , 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 $H^*(F_{\mathbb{Z}_2^m}(\mathbb{R}^m,n),\mathbb{Z}_2)$. This idea can also be applied to calculate mod 2 cohomology ring of complement space of real arrangements.

Author

Li, Hao

Published

2018

Language

EN