Cover Image

On the connections between the low dimensional homology groups of $\textrm{SL}_2$ and $\textrm{PSL}_2$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mirzaii, Behrooz, Pérez, Elvis Torres
Format:	Preprint
Published:	2024
Subjects:	K-Theory and Homology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Refined scissors congruence group and the third homology of $\textrm{SL}_2$
by: Mirzaii, Behrooz, et al.
Published: (2023)

The low dimensional homology of projective linear group of rank two
by: Mirzaii, Behrooz, et al.
Published: (2024)

The low dimensional homology groups of the elementary group of degree two
by: Mirzaii, Behrooz, et al.
Published: (2024)

The abelianization of the elementary group of rank two
by: Mirzaii, Behrooz, et al.
Published: (2024)

The third homology of projective special linear group of degree two
by: Mirzaii, Behrooz, et al.
Published: (2024)

The second integral homology of ${\rm SL}_2(\mathbb{Z}[1/n])$
by: Mirzaii, Behrooz, et al.
Published: (2025)

Schur multiplier of $\mathrm{SL}_2$ over finite commutative rings
by: Mirzaii, Behrooz, et al.
Published: (2025)

The 2-torsion in the Farrell--Tate cohomology of PSL(4,Z), and torsion subcomplex reduction via discrete Morse theory
by: Rahm, Alexander D., et al.
Published: (2025)

Integral topological Hochschild homology of connective complex K-theory
by: Lee, David Jongwon
Published: (2022)

Separation and excision in functor homology
by: Djament, Aurélien, et al.
Published: (2025)

The homology of additive functors in prime characteristic
by: Djament, Aurélien, et al.
Published: (2024)

Magnitude homology is a derived functor
by: Asao, Yasuhiko, et al.
Published: (2024)

A criterion for slope 1 homological stability
by: Jansen, Mikala Ørsnes, et al.
Published: (2024)

Cellular homology of compact groups: Split real forms
by: Patrão, Mauro, et al.
Published: (2024)

Unstable algebraic K-theory: homological stability and other observations
by: Jansen, Mikala Ørsnes
Published: (2024)

Simplicial approach to path homology of quivers, marked categories, groups and algebras
by: Ivanov, Sergei O., et al.
Published: (2022)

Group class operations and homological conditions
by: Emmanouil, Ioannis, et al.
Published: (2025)

Finite group actions on dg categories and Hochschild homology
by: Nordstrom, Ville
Published: (2024)

Higher structures on homology groups
by: Kowalzig, Niels, et al.
Published: (2024)

On the Calegari-Venkatesh conjecture connecting modular forms spaces and algebraic K-Theory
by: Rahm, Alexander D., et al.
Published: (2025)

Functorial languages in homological algebra and lower central series
by: Golub, Nikita, et al.
Published: (2024)

Path homology of digraphs without multisquares and its comparison with homology of spaces
by: Fu, Xin, et al.
Published: (2024)

Singular multivalued homology
by: Majadas-Moure, Alejandro O.
Published: (2026)

On a sequence of Grothendieck groups
by: Gyenge, Ádám
Published: (2022)

Horrocks theorem for odd orthogonal groups
by: A, Ambily A, et al.
Published: (2025)

Duality pairings with the analytic structure group
by: Wulff, Christopher, et al.
Published: (2025)

On certain classes of modules over group algebras
by: Emmanouil, Ioannis, et al.
Published: (2025)

The Hochschild cohomology groups under gluing arrows
by: Liu, Yuming, et al.
Published: (2023)

A Geometric Splitting of the Motive of $\textrm{GL}_n$
by: Gant, W. Sebastian
Published: (2024)

Equivariant Localization of $K$-homological Euler Class for almost connected Lie Groups
by: Liu, Hongzhi, et al.
Published: (2025)

On periodic homotopy and homology equivalences of spaces
by: Barkan, Shaul, et al.
Published: (2026)

Equivariant operations in topological Hochschild homology
by: Hu, Po, et al.
Published: (2025)

Topological Hochschild homology of the image of j
by: Lee, David Jongwon, et al.
Published: (2023)

K-theory of rank one reductive p-adic groups and Bernstein blocks
by: Tönies, Maximilian
Published: (2024)

K-theory and index theory on manifolds with a proper Lie group action
by: Kasparov, Gennadi
Published: (2022)

Gorenstein homological modules over tensor rings
by: Di, Zhenxing, et al.
Published: (2025)

Tautological characteristic classes III: the Witt class for PSL(2)
by: Dymara, Jan, et al.
Published: (2025)

Computations regarding the torsion homology of Oeljeklaus-Toma manifolds
by: Phan, Dung Phuong, et al.
Published: (2024)

Mapping graph homology to $K$-theory of Roe algebras
by: Manuilov, V.
Published: (2024)

Hochschild homology and the derived de Rham complex revisited
by: Raksit, Arpon
Published: (2020)