2026-06-28 ( v434 — a third honest step on the [formula in source] Quillen target: [formula in source] is the [formula in source] heat-kernel coefficient, and the three residuals collapse to one [formula in source] [formula in source] one [formula in source] )
Research changelog · TFPT — Introduction and reading guide
New module v434 ( ALPHA.QUILLEN.PROGRESS.03) — it settles the status of the three residuals named after v433 and shows they are not three independent open problems. The target ALPHA.QUILLEN.EXACT.01 ( v382) stays ; [formula in source] stays . \ [formula in source] is the [formula in source] [formula in source] heat-kernel coefficient (the [formula in source] theorem). The one-loop [formula in source] function of a ga
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/changelog/sections/012-source.tex · lines 31 to 65
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit file citation run_all.py
literal source filename/path in TeX
- explicit script identifier v342_em_ward_heatkernel.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation status_ledger.csv
literal source filename/path in TeX
- explicit script identifier v433_alpha_quillen_heatkernel.py
literal short identifier uniquely resolves in local script registry
- explicit file citation script_registry.csv
literal source filename/path in TeX
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v159_pyrate_gauge_crosscheck.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v382_alpha_quillen_exact.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit script identifier v434_alpha_quillen_betafunction.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit script identifier v246_unification_data_crosscheck.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v384_residual_certification.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v216_marks_gauss_bonnet.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred