rp2 $\mathbb {R}P^2$和rp2∧cp2 $\mathbb {R}P^2 \wedge \mathbb {C}P^2$的拓扑模形式

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2022-09-19 DOI:10.1112/topo.12263

Agnès Beaudry, Irina Bobkova, Viet-Cuong Pham, Zhouli Xu

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引用次数: 1

摘要

研究了椭圆谱序列计算tmf∗(R p2)$ tmf_*(\mathbb {R}P^2)$和tmf * (rp2∧cp2) $tmf_* (\mathbb {R} P^2 \wedge\mathbb {C} P^2)$。具体来说，我们计算了所有的微分，并通过2，η $\eta$和ν $\nu$来解析奇异的扩展。对于t m f * (rp2∧cp2)$tmf_* (\mathbb {R} P^2 \wedge \mathbb {C} P^2)$，我们还计算了rp2∧cp2 $\mathbb {R} P^2 \wedge \mathbb {C} P^2$的v1 $v_1$ -自映射的作用T mf$ tmf$ -同源性。

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The topological modular forms of R P 2 $\mathbb {R}P^2$ and R P 2 ∧ C P 2 $\mathbb {R}P^2 \wedge \mathbb {C}P^2$

We study the elliptic spectral sequence computing $t m f_{*} (R P^{2})$ and $t m f_{*} (R P^{2} \land C P^{2})$ . Specifically, we compute all differentials and resolve exotic extensions by 2, $η$ , and $ν$ . For $t m f_{*} (R P^{2} \land C P^{2})$ , we also compute the effect of the $v_{1}$ -self maps of $R P^{2} \land C P^{2}$ on $t m f$ -homology.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.