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Results tagged with ag.algebraic-geometry
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user 424
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
21
votes
Accepted
Manifolds distinguished by Gromov-Witten invariants?
The examples in Ruan's paper "Symplectic topology on algebraic 3-folds" (JDG 1994) seem to qualify: take any two algebraic surfaces V and W which are homeomorphic but such that V is minimal and W isn' …
- 2,927
7
votes
Compact Kaehler manifolds that are isomorphic as symplectic manifolds but not as complex man...
In case anybody is curious, there are still examples of (1) even if one replaces the requirement that the complex manifolds be nonisomorphic with the requirement that they be not even deformation equi …
- 2,927
13
votes
1
answer
1k
views
Gromov-Witten invariants counting curves passing through two points
Let us say that a closed symplectic manifold $X$ is $GW_g$-connected if there is a nonvanishing Gromov-Witten invariant of the form
$GW_{g,n}^{X,A}(\beta,point, point,\alpha_3,\ldots,\alpha_n)$ --in o …
- 2,927