Abstract
The authors consider the difference of Reidemeister traces and difference cochain of given two self-maps, and find out a relation involving these two invariants. As an application, an inductive formula of the Reidemeister traces for self-maps on a kind of CW-complex, including spherical manifolds is obtained.
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Acknowledgments
The authors would like to express their gratitude to Professor Daciberg Gonçalves for his careful reading of the preliminary version of this manuscript and for his useful suggestions. We also would like to thank the referee for his helpful comments.
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This work was supported by the National Natural Science Foundation of China (Nos. 11431009, 11661131004).
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Zhang, B., Zhao, X. Difference cochains and Reidemeister traces. Chin. Ann. Math. Ser. B 38, 1365–1372 (2017). https://doi.org/10.1007/s11401-017-1044-2
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DOI: https://doi.org/10.1007/s11401-017-1044-2