Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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

share|improve this question

1 Answer 1

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.

share|improve this answer
    
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

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.