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

FINDING: The search results are largely pedagogical noise (YouTube lectures on basic category theory and cotangent spaces) with one substantive research abstract on Morse decomposition for D-module categories on stacks. The arXiv paper (1402.7365) is the only mathematically deep item, establishing recollement for twisted D-modules via Kirwan-Ness stratifications of the cotangent stack. | MATH: No explicit equations or constants appear in the search results. The abstract implies: recollement of categories \( \mathrm{D}^b(\mathcal{D}_Y\text{-mod}) \) via subquotients \( \mathrm{D}^b(\mathcal{D}_{Y_\beta}\text{-mod}) \) for strata \( Y_\beta \) of a Kirwan-Ness stratification; microsupport conditions \( \mathrm{SS}(\mathcal{M}) \subset \Lambda_\beta \subset T^*Y \); the cotangent stack \( T^*Y \) as the classical limit of \( \mathcal{D}_Y \)-modules (deformation quantization: \( \mathcal{D}_Y \simeq \mathrm{gr}^{-1}(\mathcal{O}_{T^*Y}) \) with Poisson bracket \( \{-,-\} \) from the symple Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com