Gromov-Witten invariants of blow-ups along submanifolds with convex normal bundles - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: Given a submanifold Z inside X, let Y be the blow-up of X along Z. When thenormal bundle of Z in X is convex with a minor assumption, we prove thatgenus-zero GW-invariants of Y with cohomology insertions from X, are identicalto GW-invariants of X. Under the same hypothesis, a vanishing theorem is alsoproved. An example to which these two theorems apply is when the normal bundleis generated by global sections. These two main theorems do not hold forarbitrary blow-ups, and counter-examples are included.



Author: Hsin-Hong Lai

Source: https://arxiv.org/







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