Semicharacteristics, bordism, and free group actions

Davis, James F.; Milgram, R. James

doi:10.1090/S0002-9947-1989-0956031-6

Semicharacteristics, bordism, and free group actions
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by James F. Davis and R. James Milgram PDF

Trans. Amer. Math. Soc. 312 (1989), 55-83 Request permission

Abstract:

In this paper we give characteristic class formulae for all semicharacteristic classes of all compact, closed manifolds with finite fundamental groups. These invariants are identified with elements in certain odd $L$-groups, and exactly which elements occur is specified. An appendix calculates the cohomology of the model groups needed. A second appendix determines the structure of the $L$-groups needed.

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