IJPAM: Volume 29, No. 4 (2006)
Department of Mathematics and Computer Science
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Abstract.The purpose of this paper is to develop a representation theoretic method for evaluating certain topological invariants of homogeneous spaces. Our motivation is to exhibit the dependence of these invariants on the geometry of the manifold. Our method focuses on the relative geometry of the diagrams of the Lie groups defining the homogeneous manifold; specifically, the interplay between the geometry and topology in the presence of a structure.
Received: June 7, 2006
AMS Subject Classification: 57T15, 19L47, 20G05
Key Words and Phrases: elliptic genera, homogeneous space, equivariant index
Source: International Journal of Pure and Applied Mathematics