We introduce a variant of stable logarithmic maps, which we call punctured logarithmic
maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points …

The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP)
relates the A-model open and closed topological string amplitudes (the all genus open and …

A bstract We compute genus zero correlators of hybrid phases of Calabi-Yau gauged linear
sigma models (GLSMs), ie of phases that are Landau-Ginzburg orbifolds fibered over some …

There is a set of remarkable physical predictions for the structure of BCOV's higher genus B-
model of mirror quintic 3-folds which can be viewed as conjectures for the Gromov-Witten …

In this paper, we prove a wall-crossing formula for ϵ ϵ-stable quasimaps to GIT quotients
conjectured by Ciocan-Fontanine and Kim, for all targets in all genera, including the orbifold …

We generalize the results of Chang–Li, Kim–Oh and Chang–Li on the moduli of p-fields to
the setting of (quasi-) maps to complete intersections in arbitrary smooth Deligne–Mumford …

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 a conjectural vanishing result for Gopakumar--Vafa invariants of quintic 3-folds,
referred to as Castelnuovo bound in the literature. Furthermore, we calculate Gopakumar …

We construct a modular desingularisation of ℳ 2, n (ℙ r, d) main⁡. The geometry of
Gorenstein singularities of genus two leads us to consider maps from prestable admissible …

We introduce the notion of log R-maps, and develop a proper moduli stack of stable log R-
maps in the case of a hybrid gauged linear sigma model. Two virtual cycles (canonical and …