Open Gromov-Witten theory and the crepant resolution conjecture

DOI10.1307/mmj/1353098514zbMath1273.14111arXiv1102.0717OpenAlexW1965415103WikidataQ123003932 ScholiaQ123003932MaRDI QIDQ1931927

Dustin Ross, Renzo Cavalieri

Publication date: 16 January 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0717

zbMATH Keywords

toric geometryopen Gromov-Witten invariantsGromow-Witten invariantscrepant transformation

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items

The gerby Gopakumar-Mariño-Vafa formula, Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks, Open topological strings and integrable hierarchies: remodeling the A-model, Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds, Gauged linear sigma model for disc invariants, Localization and gluing of orbifold amplitudes: The Gromov-Witten orbifold vertex, Quantum McKay correspondence for disc invariants of toric Calabi-Yau 3-orbifolds, Crepant resolutions and open strings

Cites Work

• Open topological strings and integrable hierarchies: remodeling the A-model
• The orbifold topological vertex
• Open orbifold Gromov-Witten invariants of \({[\mathbb{C}^3/\mathbb{Z}_n}\): Localization and mirror symmetry]
• Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
• Generating functions for Hurwitz-Hodge integrals
• A mathematical theory of the topological vertex
• Hurwitz-Hodge integrals, the \(E_6\) and \(D_4\) root systems, and the crepant resolution conjecture
• Quantum cohomology and crepant resolutions: a conjecture
• The topological vertex
• Localization and gluing of topological amplitudes
• Gerby localization, ℤ₃-Hodge integrals and the GW theory of [ℂ³/ℤ₃]
• Evaluating tautological classes using only Hurwitz numbers
• Localization and gluing of orbifold amplitudes: The Gromov-Witten orbifold vertex
• The local Gromov-Witten theory of curves
• The orbifold quantum cohomology of $\mathbb{C}^{2}/\mathbb{Z}_3$ and Hurwitz-Hodge integrals
• Disk Instantons, Mirror Symmetry and the Duality Web
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.
• Unnamed Item
• Unnamed Item