Mathematics and string theory

Yau, Shing-Tung

Department of Mathematics, Harvard University, Cambridge, MA (United States)

关键词: Invariance Principles;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    String Models;    Symmetry;    Mirrors;   

DOI  :  10.2172/809056
RP-ID  :  None
RP-ID  :  FG02-88ER25065
RP-ID  :  809056

美国|英语

来源: UNT Digital Library

【 摘 要 】

The continuation of the collaboration with Liu and Lian on the calculation of the II A model opened up the possibility to understand calculations for higher genus curves also; many detailed calculations were carried out. They provided evidence that the method is powerful enough to calculate GW invariants in many cases. Local mirror symmetry was worked out with Chiang, Klemm, and Zaslow; it is consistent with physics intuition. Work was carried out to advance the ideas of Stroninger-Yau-Zaslow's geometric version of mirror symmetry in terms of special Lagragian torus fibration. Several papers were written on understanding such duality; it fits well with the predictions, and the ideas are still being studied.