Homotopy group of space of gauge fields modulo gauge equivalence on T^4 - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T22:40:49Z http://mathoverflow.net/feeds/question/34987 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/34987/homotopy-group-of-space-of-gauge-fields-modulo-gauge-equivalence-on-t4 Homotopy group of space of gauge fields modulo gauge equivalence on T^4 Daniel 2010-08-09T10:08:15Z 2010-08-09T10:08:15Z <p>Singer observed in 1978 (Comm.Math.Phys. 60, 7-12) that the homotopy group of the space of gauge fields modulo gauge equivalence with gauge group $G$ on $S^4$ is given by</p> <p>$\pi_n({\cal A}/{\cal G}) = \pi_{n-1}{\cal G} = \pi_{n+3} G$</p> <p>Does anyone know what the corresponding expression is if the base manifold $S^4$ is replaced by $T^4$?</p>