We prove two structure theorems for the Gromov-Witten theory of the quintic threefolds,
which together give an effective algorithm for the all genus Gromov-Witten potential …

We prove the BCOV Feynman rule by identifying the Feynman graph sum to the graph sum
of an R-matrix action extracted from the NMSP theory. As direct consequences,(i) we obtain …

We prove the genus-one restriction of the all-genus Landau–Ginzburg/Calabi–Yau
conjecture of Chiodo and Ruan, stated in terms of the geometric quantization of an explicit …

We establish new universal equations for higher genus Gromov–Witten invariants of target
manifolds, by studying both the Chern character and Chern classes of the Hodge bundle on …

The Landau–Ginzburg/Calabi–Yau (LG/CY) correspondence was conjectured by physicists
over twenty years ago based on mirror symmetry ([20, 21]). It describes a deep relationship …

The celebrated LG/CY correspondence asserts that the Gromov-Witten theory of a Calabi-
Yau (CY) hypersurface in weighted projective space is equivalent to its corresponding FJRW …

We establish a new relationship (the MLK correspondence) between twisted FJRW theory
and local Gromov-Witten theory in all genera. As a consequence, we show that the Landau …

We prove the Feynman rule conjectured by Bershadsky-Cecotti-Ooguri-Vafa arXiv: hep-
th/9309140 and the anomaly equations conjectured by Yamaguchi-Yau arXiv: hep …

We define a generalization of Fan-Jarvis-Ruan-Witten theory, a" hybrid" model associated to
a collection of quasihomogeneous polynomials of the same weights and degree, which is …

Givental's group action gives a reconstruction method for semisimple cohomological field
theories. It was first invented for Gromov-Witten theory with semisimple quantum …