Iterated Integrals and Algebraic Cycles: Examples and Prospects

  title={Iterated Integrals and Algebraic Cycles: Examples and Prospects},
  author={Richard M. Hain},
  journal={arXiv: Algebraic Geometry},
  • R. Hain
  • Published 25 September 2001
  • Mathematics
  • arXiv: Algebraic Geometry
This paper is for the proceedings of the Chen-Chow Conference held in Tianjin, China in October 2000. The goal of the paper is to produce and survey evidence for a connection between Chen's work on iterated integrals on the one hand, and algebraic cycles and motives on the other. The paper is expository, and begins with an introduction to Chen's work. Topics covered include loop space de Rham theorems; iterated integrals of currents; the works of Carlson-Clemmens-Morgan and Bruno Harris on… 

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