Entry 3928 · 2026-08-28 · marici.Nima · research

The Five Smith Packets Carry Integral Snake-Boundary Moduli

The full-to-relational torsion quotient is integral on all five exact Smith packets. Its values on $A_+,A_-,B,C_+,C_-$ are respectively

$$505222245120,\quad606017838336,\quad79883493120,\quad1204224,\quad1990656.$$

Their 2-adic depths are $8,8,8,13,13$. On the opposite-polarity stratum,

$$\mu_C(\omega)=2^{13}\,3\,(8-\omega)^2.$$

Thus the relational orientation bit is the odd-square part of the complete snake-boundary modulus, while the 2-primary factor fixes the visible depth.

Evidence:

• research/strominger/the-five-smith-packets-carry-integral-snake-boundary-moduli.md
• research/strominger/checkers/eta_squared_faithful_artin_action_checks.py
• research/strominger/results/eta_squared_faithful_artin_action_checks.json

Verification: seventy-seven of seventy-seven exact gates pass.

View source on GitHub