Uniform twisted homological stability
J Miller, P Patzt, D Petersen… - arXiv preprint arXiv …, 2024 - arxiv.org
We prove a homological stability theorem for families of discrete groups (eg mapping class
groups, automorphism groups of free groups, braid groups) with coefficients in a sequence …
groups, automorphism groups of free groups, braid groups) with coefficients in a sequence …
Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions
We compute the stable homology of the braid group with coefficients in any Schur functor
applied to the integral reduced Burau representation. This may be considered as a …
applied to the integral reduced Burau representation. This may be considered as a …
Improved homological stability for certain general linear groups
A Kupers, J Miller, P Patzt - Proceedings of the London …, 2022 - Wiley Online Library
Improved homological stability for certain general linear groups - Kupers - 2022 -
Proceedings of the London Mathematical Society - Wiley Online Library Skip to Article …
Proceedings of the London Mathematical Society - Wiley Online Library Skip to Article …
On the edge of the stable range
R Hepworth - Mathematische Annalen, 2020 - Springer
We prove a general homological stability theorem for certain families of groups equipped
with product maps, followed by two theorems of a new kind that give information about the …
with product maps, followed by two theorems of a new kind that give information about the …
Stable twisted cohomology of the mapping class groups in the exterior powers of the unit tangent bundle homology
N Kawazumi, A Soulié - arXiv preprint arXiv:2311.01791, 2023 - arxiv.org
We study the stable cohomology groups of the mapping class groups of surfaces with
twisted coefficients given by the $ d^{th} $ exterior powers of the first rational homology of …
twisted coefficients given by the $ d^{th} $ exterior powers of the first rational homology of …
Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
J Ebert, J Reinhold - Journal of Topology, 2024 - Wiley Online Library
We calculate the rational cohomology of the classifying space of the diffeomorphism group
of the manifolds U g, 1 n:=# g (S n× S n+ 1)∖ int (D 2 n+ 1) U_g,1^n:=\#^g(S^n*S^n+1)∖int(D …
of the manifolds U g, 1 n:=# g (S n× S n+ 1)∖ int (D 2 n+ 1) U_g,1^n:=\#^g(S^n*S^n+1)∖int(D …
Representation stability, secondary stability, and polynomial functors
J Miller, P Patzt, D Petersen - arXiv preprint arXiv:1910.05574, 2019 - arxiv.org
We prove a general representation stability result for polynomial coefficient systems which
lets us prove representation stability and secondary homological stability for many families …
lets us prove representation stability and secondary homological stability for many families …
[图书][B] Patterns in the homology of algebras: Vanishing, stability, and higher structures
RJ Sroka - 2021 - math.ku.dk
This thesis studies patterns in the homology and cohomology of algebras. We investigate
the vanishing of homology and cohomology groups, homological stability questions, and …
the vanishing of homology and cohomology groups, homological stability questions, and …
Problems in arithmetic topology
C Gómez-Gonzáles, J Wolfson - Research in the Mathematical Sciences, 2021 - Springer
We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF
workshop on “Arithmetic Topology.” Three problem sessions were hosted during the …
workshop on “Arithmetic Topology.” Three problem sessions were hosted during the …
Homological stability: a tool for computations
N Wahl - Proc. Int. Cong. Math, 2022 - content.ems.press
Homological stability has shown itself to be a powerful tool for the computation of homology
of families of groups such as general linear groups, mapping class groups, or …
of families of groups such as general linear groups, mapping class groups, or …