On the twisted -homology of simple Lie groups

• Autores: Christopher L. Douglas
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 6, 2006, págs. 955-988
• Idioma: inglés
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• Resumen

  • We prove that the twisted K-homology of a simply connected simple Lie group G of rank n is an exterior algebra on n-1 generators tensor a cyclic group. We give a detailed description of the order of this cyclic group in terms of the dimensions of irreducible representations of G and show that the congruences determining this cyclic order lift along the twisted index map to relations in the twisted Spin bordism group of G.