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The L-two cohomology of Artin groups

open access: yes, 2003
For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Leary, I.J., Davis, M.W.
core   +1 more source

Chern character for totally disconnected groups [PDF]

open access: yes, 2009
In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C., Christian Voigt
core   +1 more source

Scalable Computation of Topological Abstractions for Scalar Data

open access: yesComputer Graphics Forum, EarlyView.
Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will   +6 more
wiley   +1 more source

Dynamics and the Cohomology of Measured Laminations

open access: yesMathematics, 2016
In this paper, the interconnection between the cohomology of measured group actions and the cohomology of measured laminations is explored, the latter being a generalization of the former for the case of discrete group actions and cocycles evaluated on ...
Carlos Meniño Cotón
doaj   +1 more source

The cohomology of Torelli groups is algebraic

open access: yesForum of Mathematics, Sigma, 2020
The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
doaj   +1 more source

Cohomology classes of rank varieties and a counterexample to a conjecture of Liu [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
To each finite subset of a discrete grid $\mathbb{N}×\mathbb{N}$ (a diagram), one can associate a subvariety of a complex Grassmannian (a diagram variety), and a representation of a symmetric group (a Specht module).
Brendan Pawlowski
doaj   +1 more source

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

On the regularity conjecture for the cohomology of finite groups [PDF]

open access: yes, 2008
Non peer ...
Benson, David J., David J. Benson
core   +1 more source

On the cohomology of Coxeter groups

open access: yesJournal of Pure and Applied Algebra, 2001
See the review in Zbl 0943.20038.
openaire   +3 more sources

On the Auslander–Reiten theory for extended hearts of proper connective dg algebras

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley   +1 more source

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