Brini, A. orcid.org/0000-0002-3758-827X and Cavalieri, R. (2018) Crepant resolutions and open strings II. Épijournal de Géométrie Algébrique, 2. 4580. ISSN 2491-6765
Abstract
We recently formulated a number of Crepant Resolution Conjectures (CRC) for open Gromov-Witten invariants of Aganagic-Vafa Lagrangian branes and verified them for the family of threefold type A-singularities. In this paper we enlarge the body of evidence in favor of our open CRCs, along two different strands. In one direction, we consider non-hard Lefschetz targets and verify the disk CRC for local weighted projective planes. In the other, we complete the proof of the quantized (all-genus) open CRC for hard Lefschetz toric Calabi-Yau three dimensional representations by a detailed study of the G-Hilb resolution of [C3/G] for G=Z2×Z2. Our results have implications for closed-string CRCs of Coates-Iritani-Tseng, Iritani, and Ruan for this class of examples.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 The Authors. This work is licensed under http://creativecommons.org/licenses/by-sa/4.0/. |
Keywords: | Crepant resolution conjecture; Gromov-Witten theory; open invariants; quantum cohomology; orbifold cohomology; mirror symmetry |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 20 Sep 2019 11:52 |
Last Modified: | 20 Sep 2019 11:52 |
Published Version: | https://epiga.episciences.org/4580 |
Status: | Published |
Publisher: | Association Epiga |
Refereed: | Yes |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150357 |