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arXiv · 1401.7097

Invariance of quantum rings under ordinary flops: III

Y. -P. Lee·H. -W. Lin·F. Qu·C. -L. Wang
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Abstract

The paper is Part III of our ongoing project to study a case of Crepant Transformation Conjecture: K-equivalence Conjecture for ordinary flops. In this paper we prove the invariance of quantum rings for general ordinary flops, whose local models are certain non-split toric bundles over arbitrary smooth base. An essential ingredient in the proof is a quantum splitting principle, which reduces a statement in Gromov--Witten theory on non-split bundles to the case of split bundles.

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Y. -P. Lee, H. -W. Lin, F. Qu, C. -L. Wang. 2014-03-31. Invariance of quantum rings under ordinary flops: III. https://arxiv.org/abs/1401.7097

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