MORAVA K-THEORY AND FILTRATIONS BY POWERS

被引：2
作者：
Barthel, Tobias [1 ]
Pstragowski, Piotr [2 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
[2] Harvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02139 USA
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2023年
关键词：
55T15; 55N15; 55N20; CHROMATIC HOMOTOPY-THEORY; STABLE-HOMOTOPY; COHOMOLOGY; SPECTRA; NILPOTENCY; SUBGROUPS; HOMOLOGY; ALGEBRA;
D O I：
10.1017/S1474748023000233
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the convergence of the Adams spectral sequence based on Morava K-theory and relate it to the filtration by powers of the maximal ideal in the Lubin-Tate ring through a Miller square. We use the filtration by powers to construct a spectral sequence relating the homology of the K-local sphere to derived functors of completion and express the latter as cohomology of the Morava stabiliser group. As an application, we compute the zeroth limit at all primes and heights.
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页数：77
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