Enumeration of rational contact curves via torus actions

DOI10.1307/mmj/20216025arXiv2012.14946OpenAlexW3113962124MaRDI QIDQ6187399

Giosuè Muratore

Publication date: 15 January 2024

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14946

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Lagrangian submanifolds; Maslov index (53D12) Computational aspects in algebraic geometry (14Q99)

Cites Work

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• Intersection theory on algebraic stacks and on their moduli spaces
• Vector bundles on complex projective spaces
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• Moduli of quaternionic superminimal immersions of 2-spheres into quaternionic projective spaces
• Contact structures on toric varieties
• A note on complex projective threefolds admitting holomorphic contact structures
• Projective contact manifolds
• Effective computations of the Atiyah-Bott formula
• Symplectic enumeration
• Legendrian varieties
• A residue formula for holomorphic vector-fields
• Geometry of Algebraic Curves
• Remarks on Complex Contact Manifolds
• Structures de contact sur les variétés algébriques de dimension 5
• Notes on stable maps and quantum cohomology

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