Year: 2025
Type: article
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.
Source: Compositio Mathematica
Author: Marco Schlichting
Institution: University of Warwick
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,450
OpenAlex ID: W4417211850