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Relative semicharacteristic classes

Published online by Cambridge University Press:  24 October 2008

James F. Davis
James F. Davis
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.
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Extract

In 1973 Ronnie Lee introduced the notion of semicharacteristic classes, which are invariants of the bordism group ℜ*(Bπ) of closed manifolds equipped with a free action of a finite group π. In this paper we relativize his theory. Associated to a homomorphism G → π of finite groups, there is the relative bordism group ℜ*(BG → Bπ), which is the bordism group of compact manifolds M with a free π-action, so that the action on ∂M is induced from a free G-action, i.e. ∂M = π xGN for some manifold N with a free G-action. The invariants defined here are invariants of this relative group.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 2 , September 1987 , pp. 297 - 302
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

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