scholarly journals Salvetti complex, spectral sequences and cohomology of Artin groups

2014 ◽  
Vol 23 (2) ◽  
pp. 267-296
Author(s):  
Filippo Callegaro
Keyword(s):  
Spectral Sequences ◽  
Artin Groups ◽  
Salvetti Complex

scholarly journals Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

2021 ◽  
Vol 9 ◽  
Author(s):  
Benjamin Antieau ◽  
Bhargav Bhatt ◽  
Akhil Mathew
Keyword(s):  
Spectral Sequence ◽  
Spectral Sequences ◽  
Characteristic P ◽  
De Rham

Abstract We give counterexamples to the degeneration of the Hochschild-Kostant-Rosenberg spectral sequence in characteristic p, both in the untwisted and twisted settings. We also prove that the de Rham-HP and crystalline-TP spectral sequences need not degenerate.

scholarly journals Graphical splittings of Artin kernels

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Enrique Miguel Barquinero ◽  
Lorenzo Ruffoni ◽  
Kaidi Ye
Keyword(s):  
Free Group ◽  
Artin Group ◽  
Artin Groups ◽  
Graphs Of Groups ◽  
Underlying Graph ◽  
Block Graphs ◽  
Right Angled Artin Groups

Abstract We study Artin kernels, i.e. kernels of discrete characters of right-angled Artin groups, and we show that they decompose as graphs of groups in a way that can be explicitly computed from the underlying graph. When the underlying graph is chordal, we show that every such subgroup either surjects to an infinitely generated free group or is a generalized Baumslag–Solitar group of variable rank. In particular, for block graphs (e.g. trees), we obtain an explicit rank formula and discuss some features of the space of fibrations of the associated right-angled Artin group.

scholarly journals Spectral sequences of a double semi-simplical group

Topology ◽  
1966 ◽  
Vol 5 (2) ◽  
pp. 155-157 ◽  
Author(s):  
D.G. Quillen
Keyword(s):  
Spectral Sequences

scholarly journals The BNS-invariant for some Artin groups of arbitrary circuit rank

2017 ◽  
Vol 20 (4) ◽  
Author(s):  
Kisnney Almeida
Keyword(s):  
Artin Groups

AbstractWe classify the Bieri–Neumann–Strebel invariant

On a conjecture in Artin groups

2021 ◽  
pp. 1-25
Author(s):  
Arye Juhász
Keyword(s):  
Artin Group ◽  
Two Dimensional ◽  
Artin Groups ◽  
Small Cancellation ◽  
Small Cancellation Theory ◽  
Infinite Type ◽  
Trivial Center

It is conjectured that an irreducible Artin group which is of infinite type has trivial center. The conjecture is known to be true for two-dimensional Artin groups and for a few other types of Artin groups. In this work, we show that the conjecture holds true for Artin groups which satisfy a condition stronger than being of infinite type. We use small cancellation theory of relative presentations.

Solution of the Problem of Equality and Conjugacy of Words in a Certain Class of Artin Groups

2021 ◽  
Vol 257 (6) ◽  
pp. 751-764
Author(s):  
V. N. Bezverkhnii ◽  
N. B. Bezverkhnyaya
Keyword(s):  
Artin Groups

scholarly journals Cocompactly cubulated 2-dimensional Artin groups

2016 ◽  
Vol 91 (3) ◽  
pp. 519-542 ◽  
Author(s):  
Jingyin Huang ◽  
Kasia Jankiewicz ◽  
Piotr Przytycki
Keyword(s):  
Artin Groups
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