The stable pairs equivariant descendent vertex
By Aaron Pixton
Appears in collection : Summer School 2011 - MODULES DE COURBES ET THEORIE DE GROMOV-WITTEN
The counting function associated to the moduli space of stable pairs on a 3-fold X is conjectured to give the Laurent expansion of a rational function. For toric X, this conjecture can be proven by a careful grouping of the box con gurations appearing in the stable pairs equivariant descendent vertex. I will describe this approach and then say a little about how it might also be used to study the Donaldson-Thomas vertex. This talk presents joint work with Rahul Pandharipande.
