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Homological transfers for orbit space projections

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Abstract

If a compact Lie group G acts on a space X, one often has a transfer homomorphism from the homology of X/G to that of X for which projection following transfer is multiplication by a suitable integer (and dually for cohomology). Assuming the orbit types of the action all exceed some G/K, we construct such a transfer for the integer Χ(G/K.). This generalizes and unifies several known but separate cases. The problem of constructing transfers in some additional natural instances is also discussed.

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  1. Department of Mathematics, Purdue University, 47907, West Lafayette, Indiana, USA

    Reinhard Schultz

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  1. Reinhard Schultz
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Schultz, R. Homological transfers for orbit space projections. Manuscripta Math 24, 229–238 (1978). https://doi.org/10.1007/BF01310057

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  • DOI: https://doi.org/10.1007/BF01310057

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