Algebraic Geometry Seminar

Relative BPS state counts for del Pezzo surfaces

Michel van Garrel, Research Fellow, KIAS,

In the most general mirror construction up to date, Gross and

Siebert construct mirrors to log Calabi-Yau pairs with maximal boundary.

In dimension 2, we consider instead the related case of log Calabi-Yau

surface pairs with smooth boundary. Associated to it are relative BPS

state counts, its A-model invariants. We show how these are related to the

local BPS state counts (the A-model invariants of the corresponding local

Calabi-Yau threefold) via loop quiver DT invariants. This is joint work

with T. Wong and Gj. Zaimi.

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For more information, please contact Pablo Solis by email at [email protected] or visit http://www.its.caltech.edu/~pablos/seminars.html.