Mathematics – Algebraic Geometry
Scientific paper
2010-07-06
Mathematics
Algebraic Geometry
44 pages + appendices; v2: exposition improved, misprints corrected, version to appear on Selecta Mathematica; v3: last minute
Scientific paper
10.1007/s00029-011-0060-4
We develop a mathematical framework for the computation of open orbifold Gromov-Witten invariants of [C^3/Z_n], and provide extensive checks with predictions from open string mirror symmetry. To this aim we set up a computation of open string invariants in the spirit of Katz-Liu, defining them by localization. The orbifold is viewed as an open chart of a global quotient of the resolved conifold, and the Lagrangian as the fixed locus of an appropriate anti-holomorphic involution. We consider two main applications of the formalism. After warming up with the simpler example of [C^3/Z_3], where we verify physical predictions of Bouchard, Klemm, Marino and Pasquetti, the main object of our study is the richer case of [C^3/Z_4], where two different choices are allowed for the Lagrangian. For one choice, we make numerical checks to confirm the B-model predictions; for the other, we prove a mirror theorem for orbifold disc invariants, match a large number of annulus invariants, and give mirror symmetry predictions for open string invariants of genus \leq 2.
Brini Andrea
Cavalieri Renzo
No associations
LandOfFree
Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-216983