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Blowup Equations for Refined Topological Strings

Speaker: 
Kaiwen Sun
Institution: 
SISSA
Schedule: 
Wednesday, March 7, 2018 - 16:15
Location: 
A-136
Abstract: 

One main goal to study Calabi-Yau manifolds is to determine their enumerative invariants, Gromov-Witten, Gopakumar-Vafa, Donaldson-Thomas and so on. In physics, these invariants are encoded in the partition function of the topological string theory on such manifolds. For the so called local Calabi-Yau, the enumerative invariants can be further generalized to refined BPS invariants. The traditional technique to compute such invariants includes the refined topological vertex in A model and refined holomorphic anomaly equations in B model. Recently a new method called blowup equations was proposed, which was generalized from the Gottsche-Nakajima-Yoshioka K-theoretic blowup equations for supersymmetric gauge theories. These blowup equations also play an important role on the quantization of mirror curve of local Calabi-Yau and result in the equivalence between Nekrasov-Shatashivili quantization and the Grassi-Hatsuda-Marino conjecture. As I will explain from the very beginning, no prerequisites on Calabi-Yau are needed.

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