International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 3, Pages 159-197
Mirror symmetry for concavex vector bundles on projective spaces
Department of Mathematics and Statistics, American University, 4400 Massachusetts Avenue, Washington DC 20016, USA
Received 20 December 2001
Copyright © 2003 Artur Elezi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be smooth, projective manifolds. Assume that
is the zero locus of a generic section of , where all the 's are positive. Assume furthermore that , where and all the 's are negative. We show that under appropriate restrictions, the generalized Gromov-Witten invariants of inherited from can be calculated via a modified Gromov-Witten
theory on . This leads to local mirror symmetry on the -side.