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dc.creatorGomis, Jaume
dc.creatorOkuda, Takuya
dc.descriptionWe prove that the open topological string partition function on a D-brane configuration in a Calabi-Yau manifold X takes the form of a closed topological string partition function on a different Calabi-Yau manifold X_b. This identification shows that the physics of D-branes in an arbitrary background X of topological string theory can be described either by open+closed string theory in X or by closed string theory in X_b. The physical interpretation of the ''bubbling'' Calabi-Yau X_b is as the space obtained by letting the D-branes in X undergo a geometric transition. This implies, in particular, that the partition function of closed topological string theory on certain bubbling Calabi-Yau manifolds are invariants of knots in the three-sphere.
dc.descriptionComment: 32 pages; v.2 reference added
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematics - Differential Geometry
dc.titleD-branes as a Bubbling Calabi-Yau

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