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arXiv · hep-th/0104254

D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy

Xenia de la Ossa·Bogdan Florea·Harald Skarke
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Abstract

We study D-branes on smooth noncompact toric Calabi-Yau manifolds that are resolutions of abelian orbifold singularities. Such a space has a distinguished basis {S_i} for the compactly supported K-theory. Using local mirror symmetry we demonstrate that the S_i have simple transformation properties under monodromy; in particular, they are the objects that generate monodromy around the principal component of the discriminant locus. One of our examples, the toric resolution of C^3/(Z_2 x Z_2), is a three parameter model for which we are able to give an explicit solution of the GKZ system.

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Xenia de la Ossa, Bogdan Florea, Harald Skarke. 2001-06-28. D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy. https://doi.org/10.1016/s0550-3213(02)00762-9

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