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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

Complete invariants and explicit collisions

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

Complete invariants are canonical ordered tuple orbit, centralizer clock orbit and ordered central phases. Clocks0/3and0/5share monodromy,spectrum,lattice cohomology and obstruction but have centralizers64and128. Without clocks there are1088central lift classes. Phase tuples(2,0,0,0)and(0,2,0,0)over the same tuple are not conjugate.

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 229–271

    Source checked at this snapshot

    Original location and fingerprint

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

    e96dab9d854b4fa6c4c93dd7792fa8769d0ee41abdafa0072817d44990ac3b85

  • checker.py lines 195–224

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/equivariant-monodromy-20261023/checker.py

    91927ca2d86a724b387285b8406880df9cca0a46c7931940e5f344a91c230973

finding:complete-g31-lift-invariants-and-explicit-collisions