The unstable slice filtration
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- by Pablo Pelaez PDF
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Abstract:
The main goal of this paper is to construct an analogue of Voevodsky’s slice filtration in the motivic unstable homotopy category. The construction is done via birational invariants; this is motivated by the existence of an equivalence of categories between the orthogonal components for Voevodsky’s slice filtration and the birational motivic stable homotopy categories constructed by the author in 2013. Another advantage of this approach is that the slices appear naturally as homotopy fibres (and not as in the stable setting, where they are defined as homotopy cofibres) which behave much better in the unstable setting.References
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Additional Information
- Pablo Pelaez
- Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8087
- Email: pablo.pelaez@rutgers.edu
- Received by editor(s): April 16, 2012
- Received by editor(s) in revised form: February 20, 2013
- Published electronically: May 22, 2014
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 5991-6025
- MSC (2010): Primary 14F42
- DOI: https://doi.org/10.1090/S0002-9947-2014-06116-3
- MathSciNet review: 3256191