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Coincidence of the Gysin homomorphism and the transfer


Author: A. A. Mingazov
Translated by: A. A. Mingazov
Original publication: Algebra i Analiz, tom 27 (2015), nomer 4.
Journal: St. Petersburg Math. J. 27 (2016), 631-640
MSC (2010): Primary 53A04; Secondary 52A40, 52A10
DOI: https://doi.org/10.1090/spmj/1410
Published electronically: June 2, 2016
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Abstract: The coincidence of the transfer and the Gysin homomorphism is proved for homotopy invariant sheaves with transfers. For this, the category of relative motives is constructed, together with a functor from this category to the category of Voevodsky's motives.


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Additional Information

A. A. Mingazov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Fontanka 27, St. Petersburg 191023, Russia
Email: mingazov88@gmail.com

DOI: https://doi.org/10.1090/spmj/1410
Keywords: Gersten, motives, presheaves with transfers, Gysin homomorphism
Received by editor(s): March 10, 2015
Published electronically: June 2, 2016
Additional Notes: The author was supported by the Russian Science Foundation, grant no. 14-11-00456
Article copyright: © Copyright 2016 American Mathematical Society