$C_2$-等变拓扑模形式

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2022-01-10 DOI:10.1007/s40062-021-00297-1

Dexter Chua

引用次数: 1

摘要

利用下降谱序列计算了等变拓扑模形式在素数2处的$C_2$不动点的同伦群。然后我们证明，作为一个${\mathrm {TMF}}$ -模，它与${\mathrm {TMF}}$的张量积同构，具有显式有限元复形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$$C_2$-equivariant topological modular forms$

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$C_2$-equivariant topological modular forms

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.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

\(C_2\)-等变拓扑模形式

摘要