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Aaron Pixton - The stable pairs equivariant descendent vertex


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Aaron Pixton - The stable pairs equivariant descendent vertex

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.
 

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