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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A rational torsion invariant


Authors: John Ewing, Peter Löffler and Erik Kjaer Pedersen
Journal: Proc. Amer. Math. Soc. 102 (1988), 731-736
MSC: Primary 57Q10; Secondary 55P62, 57Q12
DOI: https://doi.org/10.1090/S0002-9939-1988-0929012-0
MathSciNet review: 929012
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Abstract: We show that for spaces with rational cohomology an exterior algebra on odd dimensional generators, one can define a torsion invariant which is a rational number. This may be interpreted as an absolute version of the multiplicative Euler characteristic associated to a rational homotopy equivalence.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0929012-0
Keywords: Reidemeister torsion, rational homotopy equivalence
Article copyright: © Copyright 1988 American Mathematical Society