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

Shizuo Kaji

doi:10.2977/prims/1166642116

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

Shizuo Kaji

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

1 被引用数 (Scopus)

抄録

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].

本文言語	英語
ページ（範囲）	581-587
ページ数	7
ジャーナル	Publications of the Research Institute for Mathematical Sciences
巻	42
号	2
DOI	https://doi.org/10.2977/prims/1166642116
出版ステータス	出版済み - 6月 2006
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学一般

文献へのアクセス

10.2977/prims/1166642116

他のファイルとリンク

引用スタイル

@article{3ad37178585b45adb4c0bbe867c3640a,

title = "Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds",

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].",

author = "Shizuo Kaji",

year = "2006",

month = jun,

doi = "10.2977/prims/1166642116",

language = "English",

volume = "42",

pages = "581--587",

journal = "Publications of the Research Institute for Mathematical Sciences",

issn = "0034-5318",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds

AU - Kaji, Shizuo

PY - 2006/6

Y1 - 2006/6

N2 - 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].

AB - 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].

UR - https://www.scopus.com/pages/publications/33747659661

UR - https://www.scopus.com/pages/publications/33747659661#tab=citedBy

U2 - 10.2977/prims/1166642116

DO - 10.2977/prims/1166642116

M3 - Article

AN - SCOPUS:33747659661

SN - 0034-5318

VL - 42

SP - 581

EP - 587

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

IS - 2

ER -

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

抄録

!!!All Science Journal Classification (ASJC) codes

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル