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- W2905328616 abstract "We study generating series of Gromov–Witten invariants of $E times mathbb{P}^1$ and their tropical counterparts. Using tropical degeneration and floor diagram techniques, we can express the generating series as sums of Feynman integrals, where each summand corresponds to a certain type of graph which we call a $textit{pearl chain}$. The individual summands are – just as in the case of mirror symmetry of elliptic curves, where the generating series of Hurwitz numbers equals a sum of Feynman integrals – complex analytic path integrals involving a product of propagators (equal to the Weierstrass-$wp$-function plus an Eisenstein series). We also use pearl chains to study generating functions of counts of tropical curves in $Emathbb{T}timesmathbb{P}^1mathbb{T}$ of so-called textit{leaky degree}." @default.
- W2905328616 created "2018-12-22" @default.
- W2905328616 creator A5026346204 @default.
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- W2905328616 date "2022-04-11" @default.
- W2905328616 modified "2023-10-14" @default.
- W2905328616 title "Counts of (tropical) curves in $E times mathbb{P}^1$ and Feynman integrals" @default.
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- W2905328616 doi "https://doi.org/10.4171/aihpd/115" @default.
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