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Quantum Cohomology under Birational Maps and Transitions
- Publication Year :
- 2017
-
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.<br />Comment: 20 pages. A contribution to "Proceedings of the String-Math 2015 Conference" to be published in AMS Proceedings of Symposia in Pure Mathematics
- Subjects :
- Mathematics - Algebraic Geometry
Mathematical Physics
14N35, 14J32, 14E30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1705.04799
- Document Type :
- Working Paper