Summer School in Gromov-Witten Theory 2014

Pingree Park, Colorado
June 23 - July 4, 2014



Getting There

An Introduction to FJRW theory

Tyler Jarvis

(Brigam Young University)

FJRW theory describes a construction of cohomological field theories that are similar, in many ways, to Gromov-Witten theory.  FJRW theory is also closely connected to Gromov-Witten theory through the (partially proved) Landau-Ginzburg/Calabi-Yau correspondence, which is expected to give us valuable new ways to compute many GW invariants. 

Physicists often call FJRW theory a "Landau-Ginzburg A-model," and Landau-Ginzburg mirror symmetry  relates FJRW theory to the Landau-Ginzburg B-model described by Saito and Givental.  

I will give an introduction to FJRW theory, the associated moduli spaces, some of the techniques of computation, and some of the relevant mirror symmetry.