11 citations · 12 across the 2 of their papers we have counts for
6 papers
Relations in the tautological ring of
Eleny-Nicoleta Ionel
Using a simple geometric argument, we obtain an infinite family of nontrivial relations in the tautological ring of (and in fact that of ). One immediate consequence…
Symplectic sums and Gromov-Witten invariants
Eleny-Nicoleta Ionel
Gromov-Witten invariants of a symplectic manifold are a count of holomorphic curves. We describe a formula expressing the GW invariants of a symplectic sum $X# Y$ in terms of the r…
The Symplectic Sum Formula for Gromov-Witten Invariants
Eleny-Nicoleta Ionel, Thomas H. Parker
In the symplectic category there is a `connect sum' operation that glues symplectic manifolds by identifying neighborhoods of embedded codimension two submanifolds. This paper esta…
Topological recursive relations in
Eleny-Nicoleta Ionel
We show that any degree at least polynomial in descendant or tautological classes vanishes on when . This generalizes a result of Looijenga and proves a versi…
Relative Gromov-Witten Invariants
Eleny-Nicoleta Ionel, Thomas H. Parker
We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension two symplectic submanifold. These invariants are the key ingredients in the symplecti…
Gromov-Witten Invariants of Symplectic Sums
Eleny-Nicoleta Ionel, Thomas H. Parker
The natural sum operation for symplectic manifolds is defined by gluing along codimension two submanifolds. Specifically, let X be a symplectic 2n-manifold with a symplectic (2n-2)…