The Gopakumar-Vafa formula for symplectic manifolds

The Gopakumar-Vafa conjecture predicts that the Gromov-Witten invariants of a Calabi-Yau 3-fold can be canonically expressed in terms of integer invariants called BPS numbers. Using the methods of symplectic Gromov-Witten theory, we prove that the Gopakumar-Vafa conjecture holds for any symplectic C...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:	Annals of Mathematics. - Dept. of Mathematics, Princeton University, 1884. - 187(2018), 1, Seite 1-64
1. Verfasser:	Ionel, Eleny-Nicoleta (VerfasserIn)
Weitere Verfasser:	Parker, Thomas H.
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2018
Zugriff auf das übergeordnete Werk:	Annals of Mathematics
Schlagworte:	Mathematics Physical sciences Philosophy


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520			\|a The Gopakumar-Vafa conjecture predicts that the Gromov-Witten invariants of a Calabi-Yau 3-fold can be canonically expressed in terms of integer invariants called BPS numbers. Using the methods of symplectic Gromov-Witten theory, we prove that the Gopakumar-Vafa conjecture holds for any symplectic Calabi-Yau 6-manifold, and hence for Calabi-Yau 3-folds. The results extend to all symplectic 6-manifolds and to the genus zero GW invariants of semipositive manifolds.
540			\|a Copyright © 2018 Princeton University (Mathematics Department)
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