English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We develop a mathematical framework for the computation of open orbifoldGromov-Witten invariants of [C^3/Z_n], and provide extensive checks withpredictions from open string mirror symmetry. To this aim we set up acomputation of open string invariants in the spirit of Katz-Liu, defining themby localization. The orbifold is viewed as an open chart of a global quotientof the resolved conifold, and the Lagrangian as the fixed locus of anappropriate anti-holomorphic involution. We consider two main applications ofthe formalism. After warming up with the simpler example of [C^3/Z_3], where weverify physical predictions of Bouchard, Klemm, Marino and Pasquetti, the mainobject of our study is the richer case of [C^3/Z_4], where two differentchoices are allowed for the Lagrangian. For one choice, we make numericalchecks to confirm the B-model predictions; for the other, we prove a mirrortheorem for orbifold disc invariants, match a large number of annulusinvariants, and give mirror symmetry predictions for open string invariants ofgenus \leq 2.

Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry