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Some extensions in the
Adams spectral sequence and the $51$–stem
Guozhen Wang and Zhouli Xu |
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Algebraic & Geometric Topology 18 (2018) 3887–3906
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Abstract |
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We show a few nontrivial extensions in the classical Adams spectral sequence. In particular, we compute that the –primary part of is . This was the last unsolved –extension problem left by the recent work of Isaksen and the authors through the –stem. The proof of this result uses the technique, which was introduced by the authors to prove . This paper advertises this technique through examples that have simpler proofs than in our previous work. |
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Keywords
Adams spectral sequence, Atiyah–Hirzebruch spectral
sequence
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Mathematical Subject Classification 2010
Primary: 55Q40
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References |
Publication
Received: 26 July 2017
Revised: 12 July 2018
Accepted: 3 August 2018
Published: 11 December 2018
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Authors |
| Guozhen Wang | |
| Shanghai Center for Mathematical
Sciences Fudan University Shanghai China |
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| Zhouli Xu | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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