### The stable pairs theory of local curves with stationary descendents

**Pixton, A **

Tuesday 05 April 2011, 16:30-17:30

Seminar Room 1, Newton Institute

#### Abstract

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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