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We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals.
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A. Klemm, M. Poretschkin, T. Schimannek and M. Westerholt-Raum, On direct integration for mirror curves of genus two and an almost meromorphic Siegel modular form , Commun. Number Theory Phys. 10
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A. Klemm, The B-model approach to topological string theory on Calabi-Yau n-folds , in B-model Gromov-Witten theory , Trends Math., pp. 79–397, Birkhäuser/Springer, Cham, (2018)
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Y. Goto and J. Kaneko, The fundamental group of the complement of the singular locus of Lauricella’s F C F_{C} , J. Singul. 17
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Y. Goto and K. Koike, Picard-Vessiot groups of Lauricella’s hypergeometric systems E C E_{C} and Calabi-Yau varieties arising integral representations , J. Lond. Math. Soc. (2) 102
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K. Bönisch, A. Klemm, E. Scheidegger and D. Zagier, Periods and quasiperiods of modular forms and d-brane masses for the mirror quintic , to appear (2021)
2021
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H. Frellesvig, C. Vergu, M. Volk and M. von Hippel, Cuts and Isogenies , JHEP 05
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