Equivariant fixed point index and fixed point transfer in nonzero dimensions

Prieto, Carlos; Ulrich, Hanno

doi:10.1090/S0002-9947-1991-1062875-4

Equivariant fixed point index and fixed point transfer in nonzero dimensions
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by Carlos Prieto and Hanno Ulrich PDF

Trans. Amer. Math. Soc. 328 (1991), 731-745 Request permission

Abstract:

Dold’s fixed point index and fixed point transfer are generalized for certain coincidence situations, namely maps which change the "equivariant dimension." Those invariants change the dimension correspondingly. A formula for the index of a situation over a space with trivial group action is exhibited. For the transfer, a generalization of Dold’s Lefschetz-Hopf trace formula is proved.

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graded stable cohomotopy over

and

graded

equivariant cohomotopy

A fixed point theoretical approach to the Segal conjecture

58

Una fórmula de Lefschetz-Hopf para el índice de coincidencia equivariante parametrizado

5

Fixpunkttransfer für stetige Familien von

Räumen

Existenz und axiomatische Characterisierung

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