Symplectic Geometry of Rationally Connected Threefolds |
Posted on:2012-05-11 | Degree:Ph.D | Type:Dissertation |
University:State University of New York at Stony Brook | Candidate:Tian, Zhiyu | Full Text:PDF |
GTID:1460390011965776 | Subject:Applied Mathematics |
Abstract/Summary: | |
We study the symplectic geometry of rationally connected 3-folds. The first result shows that rational connectedness is a symplectic deformation invariant in dimension 3. If a rationally connected 3-fold X is Fano or has Picard number 2, we prove that there is a non-zero Gromov-Witten invariant with two insertions being the class of a point. Finally we prove that many other rationally connected 3-folds have birational models admitting a non-zero Gromov-Witten invariant with two point insertions. |
Keywords/Search Tags: | Rationally connected, Symplectic geometry, Non-zero gromov-witten invariant with two |
|
Related items |