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The stable pairs theory of local curves with stationary descendents

Tuesday 5th April 2011 - 16:30 to 17:30
INI Seminar Room 1
The counting function associated to the moduli space of stable pairs on a 3-fold is conjectured to give the Laurent expansion of a rational function. I will discuss a simple proof of this conjecture in the local curve case with only stationary descendent insertions. The proof uses a combination of reduction rules for descendents and some exact calculations involving the stable pairs vertex. This talk presents joint work with Rahul Pandharipande.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons