Recollement and Stratification for Twisted D-Modules on Algebraic Stacks — E8 Intelligence Research

FINDING: The search results are mostly pedagogical videos on category theory (limits/colimits, adjunctions) and differential geometry (tangent/cotangent spaces), with one substantive arXiv paper (1402.7365v1) on Morse decomposition for D-module categories on stacks — but the queried arXiv:2508.19624 does not appear in results. The only genuine mathematical content is the recollement/stratification theorem for twisted D-modules on algebraic stacks. MATH: - No explicit equations, constants, or ratios appear in the video abstracts. - The arXiv paper (1402.7365v1) states: Given smooth algebraic stack \(Y\) exhausted by quotient stacks, and a Kirwan–Ness stratification of \(T^*Y\), there exists a recollement (gluing) of the category of twisted D-modules on \(Y\), with subquotients described by modules microsupported on the Kirwan–Ness strata of \(T^*Y\). - Formal structure: recollement is a triple of adjoint functors \((i^*, i_*, i^!)\) or \((j_!, j^*, j_*)\) satisfying exactness con Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com