Semisimple Quantum Cohomology and Blow-ups

Arend Bayer (Max-Planck-Institut fuer Mathematik; Bonn)

arxiv: math/0403260 · v1 · pith:DOJWAK7Fnew · submitted 2004-03-16 · 🧮 math.AG · math.DG

Semisimple Quantum Cohomology and Blow-ups

Arend Bayer (Max-Planck-Institut fuer Mathematik , Bonn) This is my paper

classification 🧮 math.AG math.DG

keywords cohomologyquantumsemisimpleblow-upblow-upsconjecturedubrovinfollowing

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Using results of Gathmann, we prove the following theorem: If a smooth projective variety X has generically semisimple (p,p)-quantum cohomology, then the same is true for the blow-up of X at any number of points. This a successful test for a modified version of Dubrovin's conjecture from the ICM 1998.

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Semisimple Quantum Cohomology and Blow-ups

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