REVIEW 2 cited by
Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We define a new family of open Gromov-Witten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian submanifold arises as the fixed points of an anti-symplectic involution and has dimension 2 or 3. In the strongly semi-positive genus 0 case, the new invariants coincide with Welschinger's invariant counts of real pseudoholomorphic curves. Furthermore, we calculate the new invariant for the real quintic threefold in genus 0 and degree 1 to be 30.
Forward citations
Cited by 2 Pith papers
-
Welschinger--Witt invariants
This paper builds Welschinger-Witt invariants and proves they match quadratic Gromov-Witten invariants for k-rational del Pezzo surfaces of degree at least 6, conjecturing agreement in general.
-
BPS polynomials and Welschinger invariants
The new BPS polynomials of surfaces specialize at q=-1 to Welschinger invariants for blowups of the projective plane at up to six points.
Discussion (0). Continue with ORCID to comment.