scholarly journals On May spectral sequence and the algebraic transfer

2010 ◽  
Vol 86 (9) ◽  
pp. 159-164 ◽  
Author(s):  
Phan Hoàng Cho’n ◽  
Lê Minh Hà
2015 ◽  
Vol 117 (2) ◽  
pp. 304
Author(s):  
Yuyu Wang ◽  
Jianbo Wang

In this paper, we will use the family of homotopy elements $\zeta_n\in\pi_*S$, represented by $h_0b_n\in \operatorname{Ext}_A^{3,p^{n+1} q+q}(\mathsf{Z}_p, \mathsf{Z}_p)$ in the Adams spectral sequence, to detect a $\zeta_n$-related family $\gamma_{s+3}\beta_2\zeta_{n-1}$ in $\pi_*S$. Our main methods are the Adams spectral sequence and the May spectral sequence, here prime $p\geq 7$, $n>3$, $q=2(p-1)$.


2011 ◽  
Vol 138 (1-2) ◽  
pp. 141-160 ◽  
Author(s):  
Phan Hoàng Chơn ◽  
Lê Minh Hà

2014 ◽  
Vol 178 ◽  
pp. 372-383 ◽  
Author(s):  
Phan Hoàng Chơn ◽  
Lê Minh Hà

2020 ◽  
Vol 2020 (769) ◽  
pp. 87-119
Author(s):  
Sabin Cautis ◽  
Aaron D. Lauda ◽  
Joshua Sussan

AbstractRickard complexes in the context of categorified quantum groups can be used to construct braid group actions. We define and study certain natural deformations of these complexes which we call curved Rickard complexes. One application is to obtain deformations of link homologies which generalize those of Batson–Seed [3] [J. Batson and C. Seed, A link-splitting spectral sequence in Khovanov homology, Duke Math. J. 164 2015, 5, 801–841] and Gorsky–Hogancamp [E. Gorsky and M. Hogancamp, Hilbert schemes and y-ification of Khovanov–Rozansky homology, preprint 2017] to arbitrary representations/partitions. Another is to relate the deformed homology defined algebro-geometrically in [S. Cautis and J. Kamnitzer, Knot homology via derived categories of coherent sheaves IV, colored links, Quantum Topol. 8 2017, 2, 381–411] to categorified quantum groups (this was the original motivation for this paper).


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