منابع مشابه
The Orbifold Topological Vertex
We define Donaldson-Thomas invariants of Calabi-Yau orbifolds and we develop a topological vertex formalism for computing them. The basic combinatorial object is the orbifold vertex V λμν , a generating function for the number of 3D partitions asymptotic to 2D partitions λ, μ, ν and colored by representations of a finite Abelian group G acting on C. In the case where G ∼= Zn acting on C with tr...
متن کاملThe Topological Vertex
We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed Calabi-Yau, with Schwinger parameters playing the role of Kähler classes of the threefold. We interpret this result as an operatorial computation of the amplitudes in the B-model ...
متن کاملOn a Deformed Topological Vertex
Recall the topological vertex involves three partitions, when one of them is empty it is related to the leading term of the large N colored HOMFLY polynomials of the Hopf link, and the general topological vertex can be expressed in terms of such leading terms. We will use the whole colored HOMFLY polynomials to define the deformed vertex, hence deformations of the partition functions of topolog...
متن کاملA Mathematical Theory of the Topological Vertex
We have developed a mathematical theory of the topological vertex— a theory that was originally proposed by M. Aganagic, A. Klemm, M. Mariño, and C. Vafa on effectively computing Gromov-Witten invariants of smooth toric Calabi-Yau threefolds derived from duality between open string theory of smooth Calabi-Yau threefolds and Chern-Simons theory on three manifolds.
متن کاملTopological finiteness for edge-vertex enumeration
The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite. At the intersection of topological and enumerative combinatorics is the relationship between the f -vector of simplicial complex and its topology. The Euler-Poincaré formula is perhaps the oldest such result. More recently, the complete characterization of all possible f -ve...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2009
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3040186