On the \gamma-filtration of oriented cohomology of complete spin-flags
Changlong Zhong

TL;DR
This paper investigates the gamma-filtration in algebraic oriented cohomology of complete spin-flags, providing new insights into torsion elements and conditions for torsion-freeness at low degrees.
Contribution
It introduces an annihilator for the torsion part of the gamma-filtration and identifies conditions under which the filtration is torsion free at degrees 2 and 3.
Findings
Annihilator of torsion in gamma-filtration established.
Gamma-filtration is torsion free at degrees 2 and 3 under certain conditions.
Provides structural understanding of 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 -filtration. Moreover, if the formal group law determined by the oriented cohomology is congruent to the additive formal group law modulo 2, then at degree 2 and 3, the -filtration of complete spin-flags is torsion free.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra
