Skip to main content

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

All17G31classes and integral cohomology

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 local rerun confirms14760ordered quadruples,17conjugacy classes and5Hurwitz orbits. All17integral Smith forms give one Z22H1, three Z20+Z/2(typeA), thirteen Z20; H0ranks6or4and higher cohomology zero. Central lifts through the same lattice projection cannot change this cohomology.

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 272–311

    Source checked at this snapshot

    Original location and fingerprint

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

    e96dab9d854b4fa6c4c93dd7792fa8769d0ee41abdafa0072817d44990ac3b85

  • INTEGRAL.tsv lines 1–18

    Source checked at this snapshot

    Original location and fingerprint

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

    05ca4cc684bba4588ea5d846e660b60f8a6b3d3159777bca61ece1da15890640

finding:original-g31-reflection-census-and-all-integral-cohomology