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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

All62clock obstructions and central transport variants

In the question: Active mathematical program: marked seam monodromies and lattice lifts

Original60reflection class, ordered punctures, marked central generator and simultaneous inner conjugation. General theorems use their explicitly stated hypotheses.

Read the exact result, assumptions and evidence

Result

All62original order4clock classes obstruct:30have(0,2),32have(2,0). Central clock power alone still gives zero. Defined central covariance with product1requires d=1,3and gives960classes with strict clock or1984with central clock power.992projective orbifold pairs instead have meridian productz2. Same existing extension, explicitly separate contracts.

Required assumptions

  • Active purely mathematical marked-seam program

    Within the stated mathematical scope, marked pairs, lattice transport systems, reflections, clocks and cohomology are independent mathematical objects. Earlier origin/completion tasks are historical, not active. Distinguish new definitions, derived theorems and optional markings.

  • Original G31reflections and central determinant class

    The60original reflections generate G31of order46080. Use exactly E=Z4xG31with determinant cocycle from original holonomy proof§4; distinguish E,effective diagonal quotient and noncentral lattice lifts. Mark z.

  • Ordered G31reflection quadruples and chosen quarterclock

    U=P1minusmu4, four ordered positive meridians in the60reflection class with product1. Chosen clocks have exact order4and conjugate meridians cyclically. Equivalence is simultaneous inner conjugation; central relaxations are separately defined relation contracts.

Original evidence

  • THEOREMS.txt lines 162–228

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/equivariant-monodromy-20261023/THEOREMS.txt

    e96dab9d854b4fa6c4c93dd7792fa8769d0ee41abdafa0072817d44990ac3b85

  • CLOCKS.tsv lines 1–63

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/equivariant-monodromy-20261023/CLOCKS.tsv

    56d95a06b6707f61b1bcd5dcc4ab1fa749f29e83280bbdc8d471d2a2ceeabc00

finding:all62-original-clock-obstructions-and-central-variants