Gromov-Witten invariants of Fano hypersurfaces , revisited

@inproceedings{Sakai2006GromovWittenIO,
  title={Gromov-Witten invariants of Fano hypersurfaces , revisited},
  author={Hironori Sakai},
  year={2006}
}
The goal of this paper is to give an efficient computation of the 3-point Gromov-Witten invariants of Fano hypersurfaces, starting from the Picard-Fuchs equation. This simplifies and to some extent explains the original computations of Jinzenji. The method involves solving a gauge-theoretic differential equation, and our main result is that this equation has a unique solution. 

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References

Publications referenced by this paper.
Showing 1-10 of 14 references

J

  • Masao Jinzenji. Gauss-Manin system, the virtual structure constants. Internat
  • Math., 13(5):445–477,
  • 2002
Highly Influential
14 Excerpts

Guest . Quantum cohomology via Dmodules

  • Masao Jinzenji.
  • Topology
  • 2005

New recursions for genuszero GromovWitten invariants

  • Aaron Bertram, Holger P. Kley
  • Topology
  • 2005

Topology

  • Aaron Bertram, Holger P. Kley. New recursions for genus-zero Gromov-Witt invariants
  • 44(1):1–24,
  • 2005

volume 52 of American Mathematical Society Colloquium Publications

  • Dusa McDuff, Dietmar Salamon. J-holomorphic curves, symplectic topology
  • American Mathematical Society, Providence, RI,
  • 2004
2 Excerpts

Cox and Sheldon Katz . Mirror symmetry and algebraic geometry , volume 68 of Mathematical Surveys and Monographs

  • B. Alexander
  • American Mathematical Society
  • 1999

Math

  • Alberto Collino, Masao Jinzenji. On the structure of the small quantum co Comm
  • Phys., 206(1):157–183,
  • 1999
1 Excerpt

On the structure of the small quantum cohomology rings of projective hypersurfaces

  • A. David
  • Comm . Math . Phys .
  • 1999

volume 68 of Mathematical Surveys and Monographs

  • David A. Cox, Sheldon Katz. Mirror symmetry, algebraic geometry
  • American Mathematical Society,
  • 1999
1 Excerpt

Givental . Equivariant GromovWitten invariants

  • A. Martin
  • Internat . Math . Res . Notices
  • 1996

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