Abstract
In this article, we consider the problem of lifting the GW theory of a symplectic divisor to that of the ambient manifold in the context of symplectic birational geometry. In particular, we generalize Maulik–Pandharipande’s relative/absolute correspondence to relative-divisor/absolute correspondence. Then, we use it to lift a minimal uniruled invariant of a divisor to that of the ambient manifold.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 163-212 |
| Number of pages | 50 |
| Journal | Communications in Mathematics and Statistics |
| Volume | 1 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1 2013 |
Bibliographical note
Publisher Copyright:© 2013, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag Berlin Heidelberg.
Keywords
- Birational symplectic geometry
- Gromov–Witten invariants
- Symplectic divisor
- Uniruled invariant
