Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Xu, Zhouli"'
We study the $\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new computational information about $\mathbb{C}$-motivic and classical stable homotopy groups.
Externí odkaz:
http://arxiv.org/abs/2408.00987
Autor:
Burklund, Robert, Xu, Zhouli
In filtration 1 of the Adams spectral sequence, using secondary cohomology operations, Adams computed the differentials on the classes $h_j$, resolving the Hopf invariant one problem. In Adams filtration 2, using equivariant and chromatic homotopy th
Externí odkaz:
http://arxiv.org/abs/2302.11869
Maneuverability and drivability of the teleoperated ground vehicle could be seriously degraded by large communication delays if the delays are not properly compensated. This paper proposes a predicted trajectory guidance control (PTGC) framework to c
Externí odkaz:
http://arxiv.org/abs/2212.02706
Autor:
Xu, Zhouli1 (AUTHOR) xuzhouli@stu.cdutcm.edu.cn, Cai, Rongxin1 (AUTHOR) choi_roy@foxmail.com, Chai, Hanxiao2 (AUTHOR) 20221110228@stu.gzucm.edu.cn, Chen, Shaoman2 (AUTHOR) 20221110152@stu.gzucm.edu.cn, Liang, Yongbai2 (AUTHOR) 20231110153@stu.gzucm.edu.cn, Li, Xican2 (AUTHOR) lixc@gzucm.edu.cn, Jiang, Guihua1 (AUTHOR) lixc@gzucm.edu.cn
Publikováno v:
Molecules. Nov2024, Vol. 29 Issue 21, p5203. 16p.
We describe in terms of generators and relations the ring structure of the $RO(C_2)$-graded $C_2$-equivariant stable stems $\pi_\star^{C_2}$ modulo the ideal of all nilpotent elements. As a consequence, we also record the ring structure of the homoto
Externí odkaz:
http://arxiv.org/abs/2211.04611
Publikováno v:
Journal of Topology, Volume 15 (2022), Issue 4, 1864-1926
In this paper, we study the elliptic spectral sequence computing $tmf_*(\mathbb{R} P^2)$ and $tmf_* (\mathbb{R} P^2 \wedge \mathbb{C} P^2)$. Specifically, we compute all differentials and resolve exotic extensions by 2, $\eta$, and $\nu$. For $tmf_*
Externí odkaz:
http://arxiv.org/abs/2103.10953
We define the Chow $t$-structure on the $\infty$-category of motivic spectra $SH(k)$ over an arbitrary base field $k$. We identify the heart of this $t$-structure $SH(k)^{c\heartsuit}$ when the exponential characteristic of $k$ is inverted. Restricti
Externí odkaz:
http://arxiv.org/abs/2012.02687
Using techniques in motivic homotopy theory, especially the theorem of Gheorghe, the second and the third author on the isomorphism between motivic Adams spectral sequence for $C{\tau}$ and the algebraic Novikov spectral sequence for $BP_*$, we compu
Externí odkaz:
http://arxiv.org/abs/2001.04511
We discuss the current state of knowledge of stable homotopy groups of spheres. We describe a new computational method that yields a streamlined computation of the first 61 stable homotopy groups, and gives new information about the stable homotopy g
Externí odkaz:
http://arxiv.org/abs/2001.04247
Mahowald proved the height 1 telescope conjecture at the prime 2 as an application of his seminal work on bo-resolutions. In this paper we study the height 2 telescope conjecture at the prime 2 through the lens of tmf-resolutions. To this end we comp
Externí odkaz:
http://arxiv.org/abs/1909.13379