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Algebraic E1 degeneration from explicit d′d″ identities

Arthur Freitas Ramos, Ruy Jose Guerra Barretto de Queiroz, David Barros Hulak

Palomar Registrypalomar/PALOMAR-2026-10-27-000019Oct 27, 2026math.ATscore 0

For actual commuting integer-indexed double complexes over a field, componentwise image/kernel identities imply biclosed representatives of vertical cohomology classes and vanishing of every higher differential of the column-filtered signed total complex. The genuine first quotient page identifies with vertical cohomology; canonical recurrence agrees on actual representatives and covers all next-page classes. Finite rectangular support gives actual quotient stabilization and a canonical identification with the associated graded of total cohomology with its finite, exhaustive, separated…

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