Recollement of Twisted D-Modules via Kirwan–Ness Stratifications — E8 Intelligence Research

FINDING: The arXiv paper (1402.7365v1) establishes a recollement (gluing) package for twisted D-modules on smooth algebraic stacks, using Kirwan–Ness stratifications of the cotangent stack \(T^*Y\) to decompose the derived category into subquotients microsupported on strata. The other results are pedagogical (limits/colimits, cotangent spaces) and add no new mathematics. | MATH: Recollement: for a stratification \(T^*Y = _β S_β\), there is a diagram of triangulated categories \(D_β D D/D_β\) with adjoint triples; microsupport condition \(SS(M) ⊂ _β S_β̄\); twisted D-modules \(D_Y^χ\) with twist \(χ ∈ H^2(Y,C^*)\). No explicit numeric constants appear; the structure is categorical, not scalar. | CONNECTION: The Kirwan–Ness stratification is induced by a moment map \(μ: T^*Y → g^*\) and a linearizat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com