Low Rank Cohomology of the Classifying Spaces of Gauge Groups over 3-manifolds

  • Shizuo Kaji

    Kyoto University, Japan

Abstract

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. 581–587

DOI 10.2977/PRIMS/1166642116