Surveys in Differential Geometry

Volume 24 (2019)

Counting curves in quintic Calabi–Yau threefolds and Landau–Ginzburg models

Pages: 173 – 203

DOI:  https://dx.doi.org/10.4310/SDG.2019.v24.n1.a5

Authors

Jun Li (Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China)

Chiu-Chu Melissa Liu (Department of Mathematics, Columbia University, New York, N.Y., U.S.A.)

Abstract

In this note, we survey the developments that led to the invention of Mixed‑Spin‑P field theory (MSP theory) which interpolates Gromov–Witten theory of quintic Calabi–Yau threefolds and Landau–Ginzburg theory of the corresponding quintic polynomials.

Published 29 December 2021