4
$\begingroup$

Dubrovin conjecture says, roughly speaking, that the quantum cohomology of a variety $X$ is semisimple if and only if it is a good Fano [good means that there exits a full exceptional collection in the bounded derived category of coherent sheaves of $X$] If we consider not a variety but an orbifold $Y$ and orbifold quantum cohomology, Does there exist any criteria in order to determine whether the orbifold quantum cohomology of $Y$ is semisimple?

Improve this question
$\endgroup$
1
  • $\begingroup$ I don't understand how to build mirror pairs well enough to answer the question, but undoubtedly a closely related question is what does the mirror of your orbifold look like? $\endgroup$
    – Daniel Pomerleano
    Nov 17, 2010 at 20:15

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.