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Localization formulas of cohomology intersection numbers

CAS-4 JCR-Q3 SCIE
Saiei-Jaeyeong Matsubara-Heo
Journal of The Mathematical Society of Japan
Apr 2021
摘要
We revisit the localization formulas of cohomology intersection numbers associated to a logarithmic connection. The main contribution of this paper is threefold: we prove the localization formula of the cohomology intersection number of logarithmic forms in terms of residue of a connection; we prove that the leading term of the Laurent expansion of the cohomology intersection number is Grothendieck residue when the connection is hypergeometric; and we prove that the leading term of stringy integral discussed by Arkani-Hamed, He and Lam is nothing but the self-cohomology intersection number of the canonical form.
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