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VOL. 60 | 2010 Quantum invariance under $\mathbb{P}^1$ flops of type $(k + 2, k)$
Hui-Wen Lin

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

In the joint paper [8] with Y.-P. Lee and C.-L. Wang, we have shown that the big quantum ring is invariant under $\mathbb{P}^r$ flops of splitting type, after an analytic continuation over the extended Kähler moduli space. It is a generalization of our previous work for the case of simple $\mathbb{P}^r$ flops [7]. In this note, I would like to outline the results and concentrate mainly on the detailed study of a simple type, called $\mathbb{P}^1$ flops of type $(k + 2, k)$.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1214.14047
MathSciNet: MR2761932

Digital Object Identifier: 10.2969/aspm/06010271

Subjects:
Primary: 14E30, 14N35, 53D45

Rights: Copyright © 2010 Mathematical Society of Japan

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