R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
BCOV Feynman Structure for Gromov Witten Invariants
Huai-Liang Chang (The Hong Kong University of Science and Technology)
Abstract:
Gromov Witten invariants Fg encodes the numbers of genus g curves in Calabi Yau threefolds. They play a role in enumerative geometry and are not easy to be determined.
In 1993 Bershadsky, Cecotti, Ooguri, Vafa exhibited a hidden "Feynman structure" governing all Fg’s at once. Their argument was via path integral while its counterpart in mathematics had been missing for decades.
In 2018, considering the moduli of a special kind of algebro geometric objects, "Mixed Spin P fields", is developed and provides the wanted "Feynman structure". In this talk we will see genuine ideas behind these features.
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