Stable maps to Looijenga pairs: orbifold examples

Stable Pair Invariants of Local Calabi–Yau 4-folds

(2021) Yalong Cao et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Sheaves of maximal intersection and multiplicities of stable log maps

(2021) Jinwon Choi et al.   Selecta Mathematica-New Series

Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting

(2020) Pierrick Bousseau   COMPOSITIO MATHEMATICA

Log BPS numbers of log Calabi-Yau surfaces

(2020) Jinwon Choi et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Physics and Geometry of Knots-Quivers Correspondence

(2020) Tobias Ekholm et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

The quantum tropical vertex

(2020) Pierrick Bousseau   GEOMETRY & TOPOLOGY

Topological recursion for the conifold transition of a torus knot

(2019) Bohan Fang et al.   Selecta Mathematica-New Series

Local Gromov-Witten invariants are log invariants

(2019) Michel van Garrel et al.   ADVANCES IN MATHEMATICS

Mirror theorems for root stacks and relative pairs

(2019) Honglu Fan et al.   Selecta Mathematica-New Series

The Gopakumar-Vafa formula for symplectic manifolds

(2018) Eleny-Nicoleta Ionel et al.   ANNALS OF MATHEMATICS

Birational invariance in logarithmic Gromov–Witten theory

(2018) Dan Abramovich et al.   COMPOSITIO MATHEMATICA

OUP accepted manuscript

(2018)   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Genus zero Gopakumar–Vafa type invariants for Calabi–Yau 4-folds

(2018) Yalong Cao et al.   ADVANCES IN MATHEMATICS

Tropical refined curve counting from higher genera and lambda classes

(2018) Pierrick Bousseau   INVENTIONES MATHEMATICAE

A mirror theorem for toric stacks

(2015) Tom Coates et al.   COMPOSITIO MATHEMATICA

Orbifold quasimap theory

(2015) Daewoong Cheong et al.   MATHEMATISCHE ANNALEN

Mirror symmetry for log Calabi-Yau surfaces I

(2015) Mark Gross et al.   Publications Mathematiques de l IHES

Topological strings, D-model, and knot contact homology

(2014) Cumrun Vafa et al.   Advances in Theoretical and Mathematical Physics

Stable logarithmic maps to Deligne--Faltings pairs I

(2014) Qile Chen   ANNALS OF MATHEMATICS

Stable logarithmic maps to Deligne-Faltings pairs II

(2014) Dan Abramovich et al.   Asian Journal of Mathematics

Integrality of relative BPS state counts of toric del Pezzo surfaces

(2014) Michel van Garrel et al.   Communications in Number Theory and Physics

Torus Knots and Mirror Symmetry

(2012) Andrea Brini et al.   ANNALES HENRI POINCARE

Large N Duality, Lagrangian Cycles, and Algebraic Knots

(2012) D.-E. Diaconescu et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Cohomological Hall algebra of a symmetric quiver

(2012) Alexander I. Efimov   COMPOSITIO MATHEMATICA

Logarithmic Gromov-Witten invariants

(2012) Mark Gross et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

From real affine geometry to complex geometry

(2011) Mark Gross et al.   ANNALS OF MATHEMATICS

Open orbifold Gromov-Witten invariants of $${[\mathbb{C}^3/\mathbb{Z}_n]}$$ : localization and mirror symmetry

(2011) Andrea Brini et al.   Selecta Mathematica-New Series

The tropical vertex

(2010) Mark Gross et al.   DUKE MATHEMATICAL JOURNAL

Orbifold quantum Riemann–Roch, Lefschetz and Serre

(2010) Hsian-Hua Tseng   GEOMETRY & TOPOLOGY

Curves on K 3 surfaces and modular forms

(2010) D. Maulik et al.   Journal of Topology

Computing genus-zero twisted Gromov-Witten invariants

(2009) Tom Coates et al.   DUKE MATHEMATICAL JOURNAL

A mathematical theory of the topological vertex

(2009) Jun Li et al.   GEOMETRY & TOPOLOGY

Enumerative Geometry of Calabi-Yau 4-Folds

(2008) A. Klemm et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS