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There is classical description of cohomology ring of projective bundle. Is there an analog in quantum cohomology?

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up vote 4 down vote accepted

There is a quantum Leray-Hirsch Theorem, do to Maulik and Pandharipande here. It relates the Gromov-Witten theory of the projective line bundle to that of the base.

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Thank you for your answer! What about higher rank? – Maxim Aug 2 '10 at 9:48
I haven't seen anything, but I stopped reading stuff in this area shortly after reading this paper. I'd recommend emailing Maulik or Pandharipande, they would presumably know if it's been done for higher dimensional bundles. – Charles Siegel Aug 2 '10 at 11:11

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