Equivariant Gromov - Witten Invariants

1996/03/27 by Alexander Givental, Givental, Alexander B. · 7 citations
Mathematics · Chemistry · #Geometric and Algebraic Topology #Finite Group Theory Research #Organometallic Complex Synthesis and Catalysis

paper · pdf · doi:10.48550/arxiv.alg-geom/9603021

Abstract

We develop general theory of equivariant quantum cohomology for ample Kahler manifolds and prove the mirror conjecture for projective complete intersections.

Citations

• Stacks of Stable Maps and Gromov-Witten Invariants

Cited by

• The cyclic open--closed map and variations of Hodge structures
• Painleve' transcendents and two-dimensional topological field theory
• On the semi-simplicity of the quantum cohomology algebras of complete intersections
• The Evolution of Enumerative Geometry: A Narrative from Classical Problems to Enriched Invariants
• Mirror symmetry and open/closed correspondence for the projective line
• A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology
• All genus open mirror symmetry for the projective line

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