Flops, motives, and invariance of quantum rings

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51130

Title:	Flops, motives, and invariance of quantum rings
Authors:	Lee,YP;Lin,HW;Wang,CL
Contributors:	數學系
Keywords:	GROMOV-WITTEN INVARIANTS;COHOMOLOGY;FORMULA;THEOREM
Date:	2010
Issue Date:	2012-03-27 18:22:41 (UTC+8)
Publisher:	國立中央大學
Abstract:	For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincare pairing. In the case of simple ordinary flops, this correspondence preserves the big quantum cohomology ring after an analytic continuation over the extended Kahler moduli space. For Mukai flops, it is shown that the birational map for the local models is deformation equivalent to isomorphisms. This implies that the birational map induces isomorphisms on the full quantum theory and all the quantum corrections attached to the extremal ray vanish.
Relation:	ANNALS OF MATHEMATICS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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