Gauge Theory Techniques in Quantum Cohomology

Details Gauge Theory Techniques in Quantum Cohomology Gauge Theory Techniques in Quantum Cohomology

2000-10-11

arxiv.org/abs/math/0010112v2

Mathematics

Differential Geometry

Scientific paper

Quantum cohomology gives a finite dimensional integrable system via the
Dubrovin connection. Motivated by Givental's work on mirror symmetry, we use
gauge theory techniques and the Frobenius Integrability Theorem to find flat
sections for the Dubrovin connection. An explicit calculation is given for
projective space.

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