The purpose of this paper is to calculate the cohomology of the function space Map(M, BG) for degree less than or equal to 3, where G is a simply connected compact Lie group and M is a closed orientable 3-manifold. The calculation enables us to obtain a simple proof and an improvement of the result [4, Theorem 1.2].
Cite this article
Shizuo Kaji, Low Rank Cohomology of the Classifying Spaces of Gauge Groups over 3-manifolds. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 581–587DOI 10.2977/PRIMS/1166642116