On a conjecture of Givental
Copyright policy )On a conjecture of Givental
These brief notes record our puzzles and findings surrounding Givental’s recent conjecture which expresses higher genus Gromov–Witten invariants in terms of the genus-0 data. We limit our considerations to the case of a complex projective line, whose Gromov–Witten invariants are well-known and easy to compute. We make some simple checks supporting his conjecture.
- Stanford University United States
- Massachusetts Institute of Technology United States
- Center for Theoretical Biological Physics United States
High Energy Physics - Theory, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, FOS: Mathematics, FOS: Physical sciences, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG)
High Energy Physics - Theory, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, FOS: Mathematics, FOS: Physical sciences, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG)
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