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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Equivariant fixed point index and fixed point transfer in nonzero dimensions


Authors: Carlos Prieto and Hanno Ulrich
Journal: Trans. Amer. Math. Soc. 328 (1991), 731-745
MSC: Primary 55R12; Secondary 54H25, 55M20, 55N91, 55P42, 55P91
MathSciNet review: 1062875
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-1062875-4
PII: S 0002-9947(1991)1062875-4
Keywords: Degree, fixed point index, transfer, equivariant fixed point theory, $ RO(G)$-graded equivariant cohomology theory, Lefschetz-Hopf formula
Article copyright: © Copyright 1991 American Mathematical Society