Published paper
Abstract
Selected proof-dependency source recorded for the bounded audit of arXiv:1501.01260v4.
Role in dependence graphs
Proof-critical source
Bernstein inequality and holonomic modules
This paper is included only for the following marked statement:
- Section 4 and Corollary 4.10 · arXiv:math/0105247v2, Section 4 and Cor. 4.10Quiver local model; broader application unresolved.
AI-generated audit
Audit summary
Not a correctness certificate. These reports do not replace expert scrutiny or formal verification.
Exact reviewed source
Frozen exact arXiv:math/0105247v2
Normality of Marsden-Weinstein reductions for representations of quivers
The exact versioned arXiv PDF was frozen and inspected because publisher full text was not acquired for this review. It is a fallback, not a claimed version of record.
Open audited source ↗01Statements2 reported findingsSuspected unsupported statements
Selected claim text and its focal use were checked in the frozen exact versioned source. The source proofs and antecedent citations are outside this bounded first-order shell, so no selected claim is certified merely from its locator.
Claim content and focal mappingStatement located; proof closure not independently verified
Section 4 and Corollary 4.10
arXiv:math/0105247v2, Section 4 and Corollary 4.10; Focal arXiv:1501.01260v4, §2.3 and §4.2, PDF pp. 5 and 14–15.
The source gives a quiver Marsden–Weinstein local model. Focal Section 2.3 says only to compare with it; this audit therefore records an ancillary contextual citation rather than extending the quiver result to arbitrary Hamiltonian symplectic representations. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:math/0105247v2 ↗Claim content and focal mappingStatement located; proof closure not independently verified
Generality boundary
arXiv:math/0105247v2, Focal arXiv:1501.01260v4 §2.3, PDF p. 5; Focal arXiv:1501.01260v4, §2.3 and §4.2, PDF pp. 5 and 14–15.
The focal theorem concerns arbitrary Hamiltonian reduction, while the frozen source treats quiver representations. No argument transferring the quiver theorem to that broader setting is supplied here, so this is an explicit coverage boundary rather than a located source claim. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:math/0105247v2 ↗02Proofs1 reported findingFurther proof verification needed
The selected proof route is bounded: the source's own proof dependencies have not been recursively closed in this audit.
Proof boundaryProof closure not independently verified
No recursive closure is claimed
Focal arXiv:1501.01260v4, §2.3 and §4.2, PDF pp. 5 and 14–15.
No unproved generalization from quiver reductions to arbitrary representations is asserted.
Frozen exact arXiv:math/0105247v2 ↗03Novelty0 reported findingsNo novelty concerns found
No non-novelty findings.