K-Theory and Homology

New submissions

• New submissions
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New submissions for Tue, 14 May 24

[1]  arXiv:2405.07566 [pdf, other]

Title: Homological stability for general linear groups over Dedekind domains

Authors: Oscar Randal-Williams

Comments: 18 pages

Subjects: Commutative Algebra (math.AC); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces.

Replacements for Tue, 14 May 24

[2]  arXiv:2110.06112 (replaced) [pdf, ps, other]

Title: A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type

Authors: Khanh Nguyen Duc, Dang Tuan Hiep, Tran Ha Son, Do Le Hai Thuy

Comments: 12 pages, 8 figures

Journal-ref: Annals of Combinatorics, Vol. 28 (2024), 155-168

Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); K-Theory and Homology (math.KT); Representation Theory (math.RT)

[3]  arXiv:2307.15148 (replaced) [pdf, ps, other]

Title: Isotropic and numerical equivalence for Chow groups and Morava K-theories

Authors: Alexander Vishik

Comments: to appear in Inventiones Mathematicae

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

[4]  arXiv:2402.14188 (replaced) [pdf, ps, other]

Title: On the cohomology of Lie algebras associated with graphs

Authors: Marco Aldi, Andrew Butler, Jordan Gardiner, Daniele Grandini, Monica Lichtenwalner, Kevin Pan

Comments: 17 pages

Subjects: Rings and Algebras (math.RA); Combinatorics (math.CO); K-Theory and Homology (math.KT)

• New submissions
• Replacements