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 statements:
- Proposition 3.7.2 · arXiv:1001.0239v4, PDF p. 41Comparison-only source for focal P3.8.
- Section 3.6 · arXiv:1001.0239v4, PDF pp. 34–42Restriction/right-adjoint route.
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:1001.0239v4
Completions of symplectic reflection algebras
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
Proposition 3.7.2
arXiv:1001.0239v4, Proposition 3.7.2, PDF p. 41; Focal arXiv:1501.01260v4, Proposition 3.8 PDF p. 10 and §4.1 PDF pp. 12–14.
The proposition is physically located as a comparison point only. Focal Proposition 3.8 gives its own proof, so this audit records neither a transferred conclusion nor a proof-critical dependency from the source proposition. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:1001.0239v4 ↗Claim content and focal mappingStatement located; proof closure not independently verified
Section 3.6
arXiv:1001.0239v4, Section 3.6, PDF pp. 34–42; Focal arXiv:1501.01260v4, Proposition 3.8 PDF p. 10 and §4.1 PDF pp. 12–14.
This section develops the restriction and right-adjoint construction for completions of symplectic reflection algebras. Focal Section 4.1 uses that construction in the rational-Cherednik branch; compatibility of all parameters and completions remains an unexpanded source obligation. The audit verifies this statement-to-focal-role mapping only; it does not certify the source proof or any unexpanded antecedent.
Official arXiv:1001.0239v4 ↗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, Proposition 3.8 PDF p. 10 and §4.1 PDF pp. 12–14.
The source construction and its citations are not recursively audited.
Frozen exact arXiv:1001.0239v4 ↗03Novelty0 reported findingsNo novelty concerns found
No non-novelty findings.