Associativity Relations in Quantum Cohomology
Copyright policy )Associativity Relations in Quantum Cohomology
We describe interdependencies among the quantum cohomology associativity relations. We strengthen the first reconstruction theorem of Kontsevich and Manin by identifying a subcollection of the associativity relations which implies the full system of WDVV equations. This provides a tool for identifying non-geometric solutions to WDVV.
LaTeX2e, 22 pages
- University of Chicago United States
- Department of Mathematics The University of Chicago United States
- University of Chicago United States
- University of Chicago United States
- University of Chicago United States
Mathematics(all), Mathematics - Algebraic Geometry, Enumerative problems (combinatorial problems) in algebraic geometry, FOS: Mathematics, WDVV equation, 14N10, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), genus zero Gromov-Witten invariants, Algebraic Geometry (math.AG), Feynman diagrams
Mathematics(all), Mathematics - Algebraic Geometry, Enumerative problems (combinatorial problems) in algebraic geometry, FOS: Mathematics, WDVV equation, 14N10, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), genus zero Gromov-Witten invariants, Algebraic Geometry (math.AG), Feynman diagrams
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