Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces
Speaker(s): Professor Masao Jinzenji (Hokkaido University, Japan)
Time: 00:00-00:00 December 1, 2011
Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University
Title: Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces
Time: Thursday December 1, 2011, 15:00-17:00 pm
Venue: Room 09 at Quan-Zhai ( 全斋), New location for BICMR, Peking University
Speaker: Professor Masao Jinzenji (Hokkaido University, Japan)
Abstract: In the first part of this talk, we discuss geometrical interpretation of the B-model data for the mirror computation of closed Gromov-Witten invariants of projective hypersurfaces. We reconstruct these data as intersection numbers of the moduli space of polynomial maps. In the second part, we apply the result of the first part to evaluation of open Gromov-Witten invariants of projective hypersurfaces. Our construction provides an extension of Walcher's result of disk invariants of quintic 3-fold to higher dimensional Calabi-Yau hypersurfaces in CP^{N-1}.