Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds

Research output: Contribution to journalArticle

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].

Original languageEnglish
Pages (from-to)581-587
Number of pages7
JournalPublications of the Research Institute for Mathematical Sciences
Volume42
Issue number2
DOIs
Publication statusPublished - Jun 1 2006

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Classifying Space
Compact Lie Group
Gauge Group
Less than or equal to
Function Space
Cohomology
Calculate
Closed
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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