Open AccessLow Rank Cohomology of the Classifying Spaces of Gauge Groups over 3-manifolds
Author(s) -
Shizuo Kaji
Publication year - 2006
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1166642116
Subject(s) - mathematics , cohomology , pure mathematics , rank (graph theory) , gauge (firearms) , classifying space , topology (electrical circuits) , algebra over a field , combinatorics , geography , archaeology
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].
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom