唐鑫星.tt*几何的等单值τ函数[J].数学年刊A辑,2021,42(2):201~228
tt*几何的等单值τ函数
Isomonodromic τ Function of tt* Geometry
Received:September 07, 2018  Revised:November 11, 2020
DOI:10.16205/j.cnki.cama.2021.0017
中文关键词:  等单值τ函数, 等单值形变, tt*几何
英文关键词:Isomonodromic τ function, Isomonodromic deformation, tt*geometry
基金项目:
Author NameAffiliation
TANG Xinxing Beijing International Center for Mathematical Research, Peking University,Beijing 100871, China. 
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中文摘要:
      在本文中, 作者定义了Landau-Ginzburg B{-}模型中的tt*几何结构对应的等单值τ函数. 基于Getzler, Dubrovin-Zhang 在亏格1的Gromov-Witten理论的部分工作,作者将所定义的τ函数和物理上给出的亏格1的Landau-Ginzburg B{-}模型的生成函数联系起来.
英文摘要:
      In this paper, the author defines the isomonodromic tau function of tt*geometry in the Landau-Ginzburg B model. Inspired by the Dubrovin-Zhang’s work on the one-loop approximation, the author relates the τ function to the primary genus 1 generating function of Landau-Ginzburg B model.
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