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Towards A+B theory in conifold transitions for Calabi-Yau threefolds

Algebraic Geometry Seminar

Towards A+B theory in conifold transitions for Calabi-Yau threefolds
Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Yuan-Pin Lee, University of Utah

For projective conifold transitions between Calabi-Yau threefolds X and Y, with X close to Y in the moduli, we show that the combined information provided by the A model (Gromov-Witten theory in all genera) and B model (variation of Hodge structures) on X, linked along the vanishing cycles, determines the corresponding combined information on Y. Similar result holds in the reverse direction when linked with the exceptional curves. This is based on a joint project with Hui-Wen Lin, Chin-Lung Wang.