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Compositio mathematica, ISSN 0010-437X, 9/2006, Volume 142, Issue 5, pp. 1263 - 1285
We conjecture an equivalence between the Gromov–Witten theory of 3-folds and the holomorphic Chern... 
Donaldson maps | Gromov-Witten | Sheaves | MATHEMATICS | sheaves | INVARIANTS
Journal Article
Geometry and Topology, ISSN 1465-3060, 03/2018, Volume 22, Issue 3, pp. 1759 - 1836
.... This action encodes the Gromov-Witten theory of X in purely geometrical terms and induces an action on the derived category Qcoh(X... 
Higher category | Gromov-Witten theory | Derived algebraic geometry | Mathematics
Journal Article
2005, International series of monographs on physics, ISBN 9780198568490, Volume 131, xii, 197
This book provides an introduction to some of the most recent developments in string theory, and in particular to their mathematical implications... 
String models | Gauge fields (Physics) | Three-manifolds (Topology) | Calabi-yau | Three-manifold geometry | String theories | Gauge theories | Gromov-witten | Knot theory | Chern-simons theory | Enumerative geometry
Book
Advances in Mathematics, ISSN 0001-8708, 02/2020, Volume 361, p. 106914
For a Fermat quasi-homogeneous polynomial, we study the associated weighted Fan–Jarvis–Ruan–Witten theory with narrow insertions... 
Hassett's moduli | Wall-crossing | Landau-Ginzburg theory | MATHEMATICS | CYCLES | GROMOV-WITTEN INVARIANTS | MODULI SPACES
Journal Article
Journal of High Energy Physics, ISSN 1029-8479, 7/2019, Volume 2019, Issue 7, pp. 1 - 42
Journal Article
Memoirs of the American Mathematical Society, ISSN 0065-9266, 05/2012, Volume 217, Issue 1020, pp. 1 - 212
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2016, Volume 288, pp. 201 - 239
We introduce a modular completion of the stack of maps from stable marked curves to the quotient stack [pt/C×], and use this stack to construct some... 
Gauge theory | Gromov–Witten | K-theory | Artin stack | Sheaf cohomology | Gromov-Witten | INVARIANTS | DEGENERATIONS | STACKS | MATHEMATICS | STABLE CURVES | MAPS | MODELS | MODULI SPACE | VECTOR-BUNDLES
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2009, Volume 809, Issue 3, pp. 452 - 518
We study the relation between Donaldson–Thomas theory of Calabi–Yau threefolds and a six-dimensional topological Yang–Mills theory... 
GROMOV-WITTEN THEORY | CALABI-YAU | QUANTUM | SHEAVES | PHYSICS, PARTICLES & FIELDS
Journal Article
American Journal of Mathematics, ISSN 0002-9327, 10/2008, Volume 130, Issue 5, pp. 1337 - 1398
.... They adapted the theory to algebraic geometry, using Chow rings and the language of stacks. It is then their main purpose to complete the work and lay the algebro-geometric... 
Morphisms | Homomorphisms | Algebra | Spatial points | Quotients | Functors | Mathematical rings | Inertia | Automorphisms | Gromov-Witten invariants | Algebraic stacks | SPACE | MATHEMATICS | COHOMOLOGY | INVARIANTS | ALGEBRAIC STACKS | STABLE MAPS | VARIETIES | COVERS | INTERSECTION THEORY | CURVES | ARTIN STACKS | Space and time | Research | Invariants | Equations | Geometry | Theorems
Journal Article
Compositio mathematica, ISSN 0010-437X, 03/2018, Volume 154, Issue 3, pp. 595 - 620
... maps is virtually birational, and, as a consequence, the Gromov–Witten theories with primary insertions coming from $X$ coincide (see Corollary 1.3.1). If $X... 
Gromov-Witten theory | birational transformations | stable maps | logarithmic structures | MATHEMATICS | MAPS | BLOW-UPS | CURVES | PAIRS | SCHEMES
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 06/2018, Volume 108, Issue 6, pp. 1383 - 1405
... (Kimura and Pestun in Quiver W-algebras, 2015. arXiv: 1512.08533 [hep-th]) with six-dimensional gauge theory. 
W-algebras | Supersymmetric gauge theories | Quiver | Conformal field theories | Instanton | Quantum groups | QUANTUM | DONALDSON-THOMAS THEORY | PHYSICS, MATHEMATICAL | VIRASORO | GROMOV-WITTEN THEORY | SYMMETRY | DEFORMATIONS | Algebra
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2019, Volume 355, p. 106765
The Gromov-Witten theory of threefolds admitting a smooth K3 fibration can be solved in terms of the Noether-Lefschetz intersection numbers of the fibration and the reduced invariants of a K3 surface... 
Gromov-Witten theory | Quasi-modular forms | Elliptic fibrations | K3 surfaces | MATHEMATICS | VARIETIES | GEOMETRY
Journal Article
Fortschritte der Physik, ISSN 0015-8208, 06/2014, Volume 62, Issue 5‐6, pp. 455 - 540
In these lectures I present a review of non‐perturbative instanton effects in quantum theories, with a focus on large N gauge theories and matrix models... 
PERTURBATION-THEORY | GROMOV-WITTEN THEORY | PHYSICS, MULTIDISCIPLINARY | INSTANTONS | BEHAVIOR | PHASE-TRANSITION | EXPANSION | CPN-1 MODELS | STOKES PHENOMENON | LARGE-ORDER | GRAVITY
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 09/2017, Volume 369, Issue 9, pp. 6631 - 6659
... stable sheaves on Calabi-Yau 3-folds, which are related to many other interesting subjects, including the Gopakumar-Vafa conjecture on BPS numbers in string theory... 
MATHEMATICS | GROMOV-WITTEN THEORY | BUNDLES | INVARIANTS | MODULI | SHEAVES | DEGENERATION | SCHEMES
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2017, Volume 314, pp. 48 - 70
We study orientability issues of moduli spaces from gauge theories on Calabi–Yau manifolds. Our results generalize and strengthen those for Donaldson... 
Moduli spaces of sheaves | Gauge theory | Calabi–Yau manifolds | Dirac operators | Orientability | Shifted symplectic structures | MATHEMATICS | GROMOV-WITTEN THEORY | Calabi-Yau manifolds | DONALDSON-THOMAS THEORY | MODULI SPACES | SHEAVES
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 9/2015, Volume 2015, Issue 9, pp. 1 - 65
...., D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves, and argue that it depends only on its K theory class... 
D-branes | String Duality | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | YANG-MILLS THEORY | GAUGE-THEORIES | ALGEBRAS | MODELS | GROMOV-WITTEN INVARIANTS | PARTITION-FUNCTIONS | VACUA | PHYSICS, PARTICLES & FIELDS
Journal Article
Michigan Mathematical Journal, ISSN 0026-2285, 11/2017, Volume 66, Issue 4, pp. 831 - 854
We study higher-genus Fan-Jarvis-Ruan-Witten theory of any chain polynomial with any group of symmetries... 
MATHEMATICS | LOCALIZATION | GROMOV-WITTEN INVARIANTS | CURVES
Journal Article
Japanese Journal of Mathematics, ISSN 0289-2316, 3/2019, Volume 14, Issue 1, pp. 67 - 133
...Japan. J. Math. 14, 67–133 (2019) DOI: 10.1007/s11537-018-1744-8 T akagi Lectures on Donaldson–Thomas theory ? Andrei Okounkov Received: 16 February 2018... 
Mathematics, general | Mathematics | History of Mathematical Sciences | Donaldson–Thomas theory | 14N35 | CASSON INVARIANT | MATHEMATICS | GAUGE-THEORIES | Donaldson-Thomas theory | GROMOV-WITTEN THEORY | HILBERT SCHEME | QUANTUM COHOMOLOGY | INSTANTONS | QUIVER VARIETIES | CALABI-YAU | MIRROR SYMMETRY | GEOMETRY
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