Genus zero BPS invariants for local P^1

Details Genus zero BPS invariants for local P^1 Genus zero BPS invariants for local P^1

2011-06-23

arxiv.org/abs/1106.4616v1

Mathematics

Algebraic Geometry

26 pages, 3 figures

Scientific paper

We study the equivariant version of genus zero BPS invariants of the total
space of rank 2 bundle on P^1 whose determinant is O(-2) by means of the moduli
space of stable sheaves of dimension one as proposed by Sheldon Katz. We count
the torus fixed stable sheaves of low degrees and show the results agree with
the prediction in local Gromov-Witten theory.

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