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Gauge Theory Techniques in Quantum Cohomology

S. Rosenberg·M. Vajiac
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Abstract

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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S. Rosenberg, M. Vajiac. 2000-10-11. Gauge Theory Techniques in Quantum Cohomology. https://arxiv.org/abs/math/0010112

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