Computation of the homotopy of the spectrum tmf
Computation of the homotopy of the spectrum tmf
复制标题
谱 tmf 的同伦性计算
DOI：
10.2140/gtm.2008.13.11
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Tilman Bauer
中科院分区：
文献类型：
--
作者：
Tilman Bauer
本文给出了Hopkins和Miller构造的拓扑模形式谱的同伦环的完整计算。计算在远离6的地方进行，并分别在（有趣的）素数2和3处进行，在后两种情况下，使用代数Bockstein谱序列序列从椭圆曲线Hopf代数体中计算椭圆Adams - Novikov谱序列的E2项。在进一步的步骤中，确定后一个光谱序列中的所有微分。这个计算结果最初归功于Hopkins和Mahowald（未发表）。55 n34;55 t15
This paper contains a complete computation of the homotopy ring of the spectrum of topological modular forms constructed by Hopkins and Miller. The computation is done away from 6, and at the (interesting) primes 2 and 3 separately, and in each of the latter two cases, a sequence of algebraic Bockstein spectral sequences is used to compute the E2 term of the elliptic Adams‐Novikov spectral sequence from the elliptic curve Hopf algebroid. In a further step, all the differentials in the latter spectral sequence are determined. The result of this computation is originally due to Hopkins and Mahowald (unpublished). 55N34; 55T15