Invariant count of holomorphic disks in the cotangent bundles of the two-sphere and real projective plane

DOI10.1016/j.crma.2007.01.005zbMath1118.53057OpenAlexW2040957643MaRDI QIDQ875316

Jean-Yves Welschinger

Publication date: 13 April 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.01.005

zbMATH Keywords

cotangent bundlesymplectic manifoldenumerative geometrypseudo-holomorphic disks

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Topology of real algebraic varieties (14P25)

Cites Work

• Unnamed Item
• A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
• Counting curves on rational surfaces
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
• Enumerative tropical algebraic geometry in ℝ²
• Logarithmic equivalence of Welschinger and Gromov-Witten invariants
• A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces

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