Quantum Cohomology under Birational Maps and Transitions
Algebraic Geometry
2017-05-16 v1 Mathematical Physics
math.MP
Abstract
This is an expanded version of the third author's lecture in String-Math 2015 at Sanya. It summarizes some of our works in quantum cohomology. After reviewing the quantum Lefschetz and quantum Leray--Hirsch, we discuss their applications to the functoriality properties under special smooth flops, flips and blow-ups. Finally, for conifold transitions of Calabi--Yau 3-folds, formulations for small resolutions (blow-ups along Weil divisors) are sketched.
Cite
@article{arxiv.1705.04799,
title = {Quantum Cohomology under Birational Maps and Transitions},
author = {Yuan-Pin Lee and Hui-Wen Lin and Chin-Lung Wang},
journal= {arXiv preprint arXiv:1705.04799},
year = {2017}
}
Comments
20 pages. A contribution to "Proceedings of the String-Math 2015 Conference" to be published in AMS Proceedings of Symposia in Pure Mathematics