Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology

Jiaqi Chen; Bo Feng

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arXiv · 2409.12663

Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology

Jiaqi Chen·Bo Feng

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Abstract

We give an explanation of the $\mathrm{d}\log$-form of the coefficient matrix of canonical differential equations using the projection of ($n$+1)-$\mathrm{d}\log$ forms onto $n$-$\mathrm{d}\log$ forms. This projection is done using the leading-order formula for intersection numbers. This formula gives a simple way to compute the coefficient matrix. When combined with the relative twisted cohomology, redundancy in computation using the regulator method can be avoided.

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Jiaqi Chen, Bo Feng. 2024-09-19. Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology. https://arxiv.org/abs/2409.12663

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