23 citations · 136 across the 15 of their papers we have counts for
18 papers
The Gopakumar-Vafa finiteness conjecture
Aleksander Doan, Eleny-Nicoleta Ionel, Thomas Walpuski
The Gopakumar-Vafa conjecture predicts that the BPS invariants of a symplectic 6-manifold, defined in terms of the Gromov-Witten invariants, are integers and all but finitely many…
Splitting formulas for the local real Gromov-Witten invariants
Penka Georgieva, Eleny-Nicoleta Ionel
Motivated by the real version of the Gopakumar-Vafa conjecture for 3-folds, the authors introduced in [GI] the notion of local real Gromov-Witten invariants associated to local 3-f…
A Klein TQFT: the local Real Gromov-Witten theory of curves
Penka Georgieva, Eleny-Nicoleta Ionel
In this paper we study the Real Gromov-Witten theory of local 3-folds over Real curves. We show that this gives rise to a 2-dimensional Klein TQFT defined on an extension of the ca…
Relating VFCs on thin compactifications
Eleny-Nicoleta Ionel, Thomas H. Parker
Many moduli spaces that occur in geometric analysis admit "Fredholm-stratified thin compactifications" in the sense of [IP1] and hence admit a relative fundamental class (RFC), als…
Thin compactifications and relative fundamental classes
Eleny-Nicoleta Ionel, Thomas H. Parker
We define a notion of relative fundamental class that applies to moduli spaces in gauge theory and in symplectic Gromov-Witten theory. For universal moduli spaces over a parameter…
Corrigendum: The symplectic sum formula for Gromov-Witten invariants
Eleny-Nicoleta Ionel, Thomas H. Parker
We correct an error and an oversight in [IP]. The sign of the curvature in (8.7) is wrong, requiring a new proof of Proposition 8.1. Also, several lemmas addressed only the basic c…