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<p>We give an explanation of the d log-form of the coefficient matrix of canonical differential equations using the projection of (<i>n</i>+1)-d log forms onto <i>n</i>-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.</p>

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Notes on selection rules of canonical differential equations and relative cohomology

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月4日

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  • Jiaqi Chen,
  • Bo Feng

摘要

We give an explanation of the d log-form of the coefficient matrix of canonical differential equations using the projection of (n+1)-d log forms onto n-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.