Huailiang ChangHong Kong University of Science and TechnologyJun LiShanghai Center for Mathematical Sciences, Fudan University, ChinaWei-Ping LiHong Kong University of Science and TechnologyChiu-Chu Melissa LiuColumbia University
This is the first part of the project toward an effective algorithm to evaluate all genus Gromov-Witten invariants
of quintic Calabi-Yau threefolds. In this paper, we introduce the notion of Mixed-Spin-P fields, construct their moduli spaces,
and construct the virtual cycles of these moduli spaces.