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Invariance of Gromov–Witten theory under a simple flop
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Y. Iwao
,
Y.-P. Lee
Published/Copyright:
June 18, 2011
Abstract
In this work, we continue our study initiated in [11]. We show that the generating functions of Gromov–Witten invariants with ancestors are invariant under a simple flop, for all genera, after an analytic continuation in the extended Kähler moduli space.
The results presented here give the first evidence, and the only one not in the toric category, of the invariance of full Gromov–Witten theory under the K-equivalence (crepant transformation).
Received: 2009-03-24
Revised: 2010-08-26
Published Online: 2011-06-18
Published in Print: 2012-02
©[2012] by Walter de Gruyter Berlin Boston
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- On counting rings of integers as Galois modules
- On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate
- Invariance of Gromov–Witten theory under a simple flop
- Representations up to homotopy of Lie algebroids
- Counting lattice points
- Cyclic homology of strong smash product algebras
- Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations
Articles in the same Issue
- On counting rings of integers as Galois modules
- On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate
- Invariance of Gromov–Witten theory under a simple flop
- Representations up to homotopy of Lie algebroids
- Counting lattice points
- Cyclic homology of strong smash product algebras
- Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations
