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
Keyword(s):  
Spectral Sequence ◽  
May Spectral Sequence

The Convergence of Some Products in the Adams Spectral Sequence

2015 ◽  
Vol 117 (2) ◽  
pp. 304
Author(s):  
Yuyu Wang ◽  
Jianbo Wang
Keyword(s):  
Spectral Sequence ◽  
Adams Spectral Sequence ◽  
May Spectral Sequence ◽  
Related Family ◽  
The Family

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 $p\geq 7$, $n>3$, $q=2(p-1)$.

scholarly journals On May spectral sequence and the algebraic transfer

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

scholarly journals On the May spectral sequence and the algebraic transfer II

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

scholarly journals Curved Rickard complexes and link homologies

2020 ◽  
Vol 2020 (769) ◽  
pp. 87-119
Author(s):  
Sabin Cautis ◽  
Aaron D. Lauda ◽  
Joshua Sussan
Keyword(s):  
Spectral Sequence ◽  
Quantum Groups ◽  
Braid Group ◽  
Derived Categories ◽  
Duke Math ◽  
Khovanov Homology ◽  
Hilbert Schemes ◽  
Coherent Sheaves ◽  
Knot Homology ◽  
Original Motivation

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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