On the homology stability range for symplectic groups
Abstract We improve, by a factor of 2, known homology stability ranges for the integral homology of symplectic groups over commutative local rings with infinite residue field and show that the obstruction to further stability is bounded below by Milnor–Witt K -theory. In particular, our stability range is optimal in many cases.
Authors
- Marco Schlichting (ORCID: https://orcid.org/0000-0002-9346-970X)
Institutions
- University of Warwick (GB)
Publication Details
- Journal
- Compositio Mathematica
- Published
- 2025-10-01
- DOI
- https://doi.org/10.1112/s0010437x25102856
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00