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What is Torsion in PU(n) Gauge Groups about?

This paper investigates the torsion in the integral homology of the classifying space of P U (n)-gauge groups over the sphere S 2. It establishes conditions under which the mapping space Mapk (S 2, BP U (n)) has torsion, particularly focusing on the relationship between the homology and cohomology of these spaces. The results indicate that the presence of torsion is linked to the congruence of certain integers modulo primes.

Author

cuz8al0qq

Language

EN