Generating varieties for the triple loop space of classical Lie groups

• Autorzy: Yasuhiko Kamiyama
• Języki publikacji: EN

Abstrakty

EN

For G = SU(n), Sp(n) or Spin(n), let $C_{G}(SU(2))$ be the centralizer of a certain SU(2) in G. We have a natural map $J: G/C_{G}(SU(2)) → Ω₀³G$. For a generator α of $H⁎(G/C_{G}(SU(2));ℤ/2)$, we describe J⁎(α). In particular, it is proved that $J⁎: H⁎(G/C_{G}(SU(2));ℤ/2) → H⁎(Ω₀³G;ℤ/2)$ is injective.

Kategorie tematyczne

• 58D27: Moduli problems for differential geometric structures
• 53C07: Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
• 55R40: Homology of classifying spaces, characteristic classes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 177
• Numer: 3
• Strony: 269-283

Daty

wydano

2003

Twórcy

autor

Yasuhiko Kamiyama

• Department of Mathematics, University of the Ryukyus, Okinawa 903-0213, Japan

Identyfikatory

DOI

10.4064/fm177-3-6