As a physicist, my understanding of mirror symmetry is very limited, and perhaps the most "mathematical" literature I have read on mirror symmetry is the book of M. Gross. In the genus-0 Gromov-Witten invariant case, the computation of the instanton expansion of the Yukawa coupling on the complex moduli side plays an essential role. In the case of genus-$g$ Gromov-Witten invariant case, what "physics" quantity on the complex side will play the same role as Yukawa coupling in the genus zero case?

There are many references on this, and perhaps the most famous one is the BCOV paper written in 1993, which is however non-deterministic. Any updated references are welcomed.


Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.