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 …

arXiv:1709.07392v1 [math.AG] 21 Sep 2017 Page 1 arXiv:1709.07392v1 [math.AG] 21 Sep
2017 A MIRROR THEOREM FOR GENUS TWO GROMOV–WITTEN INVARIANTS OF QUINTIC …

We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We
prove that in the relevant special cases these invariants recover both the Gromov–Witten …

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 …

This is the first part of the project toward an effective algorithm to evaluate all genera Gromov-
Witten invariants of quintic Calabi-Yau threefolds. In this paper, we introduce the notion of …

We give a new proof of Ciocan-Fontanine and Kim's wall-crossing formula relating the virtual
classes of the moduli spaces of $\epsilon $-stable quasimaps for different $\epsilon $ in any …

Let DX be a smooth hypersurface in a smooth projective variety. One important question in
Gromov–Witten theory is to determine all genus Gromov–Witten invariants of D by the …

We prove an explicit formula for the genus-one Fan-Jarvis-Ruan-Witten invariants
associated to the quintic threefold, verifying the genus-one mirror conjecture of Huang …

The concept of $ tt^* $ geometric structure was introduced by physicists (see\cite {CV1,
BCOV} and references therein), and then studied firstly in mathematics by C. Hertling\cite …

We introduce a technique for proving all-genus wall-crossing formulas in the gauged linear
sigma model as the stability parameter varies, without assuming factorization properties of …