JournalsprimsVol. 42, No. 2pp. 581–587

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

  • Shizuo Kaji

    Kyoto University, Japan
Low Rank Cohomology of the Classifying Spaces of Gauge Groups over 3-manifolds cover
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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