Semi-infinite Hodge structures and mirror symmetry for projective spaces
By S. Barannikov. 2000
83 citations recorded by the source corpus.
We express total set of rational Gromov-Witten invariants of projective spaces via periods of variations of semi-infinite Hodge structure associated with their mirror partners.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e44e761df5990fcd6e72050628f6c8a11858a0dc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- C. Teleman
- H. Iritani
- C. Sabbah
- Christian Sevenheck
- Thomas Reichelt
- Yuri I. Manin
- Alexander Givental
- C. Hertling
In Mathematical Physics
- C. Teleman
- H. Iritani
- Christian Sevenheck
- C. Sabbah
- Yuri I. Manin
- Thomas Reichelt
- Alexander Givental
- C. Hertling
Citations in the corpus
- Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I) (2002, background): “Barannikov [3] for the particular case of the Laurent polynomial f(ui , .”
- An update on semisimple quantum cohomology and F-manifolds (2008, methodology): “This is a refinement of (c), described by S. Barannikov [ 2 , 3].”
- Semisimple Frobenius structures at higher genus (2000, background): “According to the theory [25] of primitive volume forms there exists a choice of Ω such that the corresponding residue metric is flat and constitutes, together with the multiplication •, a Frobenius structure on H (see also [3] for a new approach).”
- Logarithmic Frobenius manifolds, hypergeometric systems and quantum D-modules (2010, background): “For some special kind of Fano varieties like the projective spaces (see [Bar00]) or, more generally, for some orbifolds like weighted projective spaces ([Man08], [DM09]), it is possible to find explicit solutions to the Birkhoff problem and to carry out the construction of the Frobenius manifold rat”