D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy
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 Si have simple tran...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2002
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| Summary: | 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 Si 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 × ℤ 2), is a three parameter model for which we are able to give an explicit solution of the GKZ system. © 2002 Elsevier Science B.V. All rights reserved. |
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