|MSP Fields, GW theory, and FJRW theory|
|Time：||Thu 15:10-17:00/Fri 10:10-12:00, 2016-07-14~ 2016-07-29|
|Instructor：||Chiu-Chu Melissa Liu [Columbia University]|
|Place：||Conference Room 4, Floor 2, Jin Chun Yuan West Building|
Gromov-Witten (GW) invariants of quintic Calabi-Yau 3-folds (degree 5 hypersurfaces in P^4) are virtual counts of algebraic curves in the quintic threefold. Fan-Jarvis-Ruan-Witten (FJRW) invariants are virtual counts of solutions to the Witten equation associated to the Fermat quintic polynomial. In this course, we will describe the theory of Mixed-Spin-P (MSP) fields interpolating GW theory of quintic Calabi-Yau 3-folds and FJRW theory of the Fermat quintic polynomial.
Basic Algebraic Geometry
Huai-Liang Chang, Jun Li, Wei-Ping Li, and Chiu-Chu Melissa Liu, "Mixed-Spin-P fields of Fermat quintic polynomials"
Huai-Liang Chang, Jun Li, Wei-Ping Li, and Chiu-Chu Melissa Liu,
"An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds"