On the initial condition of MSP algorithm for the Fermat quintic polynomial

Abstract

Torus localization in Mixed-Spin-P theory for the Fermat quintic polynomial produces an effective algorithm for higher genus Gromov-Witten invariants of quintic threefold. However, the exact value of some initial conditions needed to run the algorithm are still unknown. In this thesis, we conduct further investigation of localization contribution and the algorithm for the Fermat quintic polynomial. We prove that the algorithm is independent of the highest initial condition and then improve the algorithm.

Date of Award	2022
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology
Supervisor	Huai-Liang CHANG (Supervisor)