[HTML][HTML] Stable quotients and the holomorphic anomaly equation

H Lho, R Pandharipande - Advances in Mathematics, 2018 - Elsevier
We study the fundamental relationship between stable quotient invariants and the B-model
for local P 2 in all genera. Our main result is a direct geometric proof of the holomorphic …

Structure of higher genus Gromov-Witten invariants of quintic 3-folds

S Guo, F Janda, Y Ruan - arXiv preprint arXiv:1812.11908, 2018 - arxiv.org
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 …

Quasimap wall-crossing for GIT quotients

Y Zhou - Inventiones mathematicae, 2022 - Springer
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 …

A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds

S Guo, F Janda, Y Ruan - arXiv preprint arXiv:1709.07392, 2017 - arxiv.org
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 …

An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds

HL Chang, J Li, WP Li, CCM Liu - arXiv preprint arXiv:1603.06184, 2016 - arxiv.org
This is the second part of the project toward an effective algorithm to evaluate all genus
Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, the localization …

Holomorphic anomaly equations for the formal quintic

H Lho, R Pandharipande - Peking Mathematical Journal, 2019 - Springer
We define a formal Gromov–Witten theory of the quintic threefold via localization on P^ 4 P
4. Our main result is a direct geometric proof of holomorphic anomaly equations for the …

A mirror theorem for Gromov-Witten theory without convexity

J Wang - arXiv preprint arXiv:1910.14440, 2019 - arxiv.org
We prove a genus zero Givental-style mirror theorem for all complete intersections in proper
toric Deligne-Mumford stacks, which provides an explicit slice called big $ I-$ function on …

Quantum Lefschetz property for genus two stable quasimap invariants

S Lee, ML Li, J Oh - Mathematische Annalen, 2024 - Springer
By the reduced component in a moduli space of stable quasimaps to n-dimensional
projective space P n we mean the closure of the locus in which the domain curves are …

Higher-genus wall-crossing in the gauged linear sigma model

E Clader, F Janda, Y Ruan - 2021 - projecteuclid.org
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 …

Gromov-Witten Theory of type quiver varieties and Seiberg Duality

Y Zhang - arXiv preprint arXiv:2112.11812, 2021 - arxiv.org
arXiv:2112.11812v3 [math.AG] 7 Jul 2022 Page 1 Gromov-Witten Theory of An type quiver
varieties and Seiberg Duality Yingchun Zhang Abstract Seiberg duality conjecture asserts that …