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吴文俊数学重点实验室讲座【朱盛茂】
题目:Integrality structures in topological strings

报告人:朱盛茂 浙江大学

时间:10月13日 周四 下午4:00-5:00

地点:管研楼1218

摘要:In topological strings, there are many integral invariants obtained by counting BPS states, due to the works of Gopakmumar-Vafa and Ooguri-Vafa. Based on the large N duality of Chern-Simons-Witten theory and topological string, knot/link invariants appear naturally in topolgical strings. In this talk, I will describe the following framework in detail: from a framed knot, one obtains a framed (deformed) A-polynomial  which can be viewed as the mirror curve of the Calabi-Yau 3-fold. Then, by using this framed A-polynomial, we compute the invariants predicted by Ooguri and Vafa in open topological string, and we prove the integrality of these invariants which confirms the conjecture of Ooguri and Vafa.

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中国科学院吴文俊数学重点实验室