Direct computation of the degree 4 Gopakumar-Vafa invariant on a Calabi-Yau 3-fold

DOI10.1016/j.geomphys.2012.01.003zbMath1238.14028OpenAlexW1993168569MaRDI QIDQ413668

Mehmet Sahin

Publication date: 7 May 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.01.003

zbMATH Keywords

Hilbert schememoduli of sheavesCalabi-YauDonaldson Thomas invariantGopakumar-Vafa invariantGromow-Witten invariant

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (3)

Moduli spaces of \(\alpha\)-stable pairs and wall-crossing on \(\mathbb{P}^2\) ⋮ Torus action on the moduli spaces of torsion plane sheaves of multiplicity four ⋮ Virtual Poincaré polynomial of the space of stable pairs supported on quintic curves

Cites Work

• Genus zero Gopakumar-Vafa invariants of contractible curves
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Genera of algebraic varieties and counting of lattice points
• Euler characteristics of algebraic varieties
• Mirror symmetry for two-parameter models. II
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