Abstract
Let $G$ be a compact Lie group and $T$ its maximal torus. In this paper, we try to compute $gr_{\gamma}^*(G/T)$ the graded ring associated with the gamma filtration of the complex $K$-theory $K^0(G/T)$ for $G=Spin(n)$. In particular, we give a counterexample for a conjecture by Karpenko when $G=Spin(17)$.
Citation
Nobuaki Yagita. "The gamma filtrations for the spin groups." Kodai Math. J. 44 (1) 137 - 165, March 2021. https://doi.org/10.2996/kmj44109
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