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 \(T^*Y = \bigsqcup_\beta S_\beta\), there is a diagram of triangulated categories \(\mathcal{D}_\beta \hookrightarrow \mathcal{D} \twoheadrightarrow \mathcal{D}/\mathcal{D}_\beta\) with adjoint triples; microsupport condition \(\mathrm{SS}(\mathcal{M}) \subset \bigcup_\beta \overline{S_\beta}\); twisted D-modules \(\mathcal{D}_Y^\chi\) with twist \(\chi \in H^2(Y,\mathbb{C}^*)\). No explicit numeric constants appear; the structure is categorical, not scalar. | CONNECTION: The Kirwan–Ness stratification is induced by a moment map \(\mu: T^*Y \to \mathfrak{g}^*\) and a linearizat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com