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$$C_2$$ -equivariant topological modular forms
Journal of Homotopy and Related Structures ( IF 0.7 ) Pub Date : 2022-01-10 , DOI: 10.1007/s40062-021-00297-1 Dexter Chua 1
中文翻译：
$$C_2$$ -等变拓扑模形式
更新日期：2022-01-10
Journal of Homotopy and Related Structures ( IF 0.7 ) Pub Date : 2022-01-10 , DOI: 10.1007/s40062-021-00297-1 Dexter Chua 1
Affiliation
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We compute the homotopy groups of the \(C_2\) fixed points of equivariant topological modular forms at the prime 2 using the descent spectral sequence. We then show that as a \({\mathrm {TMF}}\)-module, it is isomorphic to the tensor product of \({\mathrm {TMF}}\) with an explicit finite cell complex.
中文翻译：
$$C_2$$ -等变拓扑模形式
我们使用下降谱序列计算素数 2 处等变拓扑模形式的\(C_2\)不动点的同伦群。然后我们证明，作为一个\({\mathrm {TMF}}\)模块，它与具有显式有限元复形的\({\mathrm {TMF}}\)的张量积同构。
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