On the γ-filtration of oriented cohomology of complete spin-flags

Changlong Zhong

doi:10.1016/j.jpaa.2013.11.018

On the γ-filtration of oriented cohomology of complete spin-flags

Changlong Zhong

Mathematics and Statistics

University at Albany

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the characteristic map of algebraic oriented cohomology of complete spin-flags and the ideal of invariants of formal group algebra. As an application, we provide an annihilator of the torsion part of the γ-filtration. Moreover, if the formal group law determined by the oriented cohomology theory is congruent to the additive formal group law modulo 2, then at degree 2 and 3, we show that the γ-filtration of complete spin-flags is torsion free.

Original language	English
Pages (from-to)	1291-1301
Number of pages	11
Journal	Journal of Pure and Applied Algebra
Volume	218
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2013.11.018
State	Published - Jul 2014

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title = "On the γ-filtration of oriented cohomology of complete spin-flags",

abstract = "We study the characteristic map of algebraic oriented cohomology of complete spin-flags and the ideal of invariants of formal group algebra. As an application, we provide an annihilator of the torsion part of the γ-filtration. Moreover, if the formal group law determined by the oriented cohomology theory is congruent to the additive formal group law modulo 2, then at degree 2 and 3, we show that the γ-filtration of complete spin-flags is torsion free.",

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AB - We study the characteristic map of algebraic oriented cohomology of complete spin-flags and the ideal of invariants of formal group algebra. As an application, we provide an annihilator of the torsion part of the γ-filtration. Moreover, if the formal group law determined by the oriented cohomology theory is congruent to the additive formal group law modulo 2, then at degree 2 and 3, we show that the γ-filtration of complete spin-flags is torsion free.

UR - https://www.scopus.com/pages/publications/84894471076

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DO - 10.1016/j.jpaa.2013.11.018

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SP - 1291

EP - 1301

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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On the γ-filtration of oriented cohomology of complete spin-flags

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