Geometry of polysymbols

Masanori Morishita, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We introduce a multiple generalization of the tame symbol, called polysymbols, associated to meromorphic functions on a Riemann surface as the Massey products in Deligne cohomology, and also give a geometric construction of polysymbols using Chen's iterated integrals. We then deduce some basic properties of polysymbols using our holonomy formula, and show that trivializations of polysymbols give variations of mixed Hodge structure.

Original languageEnglish
Pages (from-to)95-115
Number of pages21
JournalMathematical Research Letters
Issue number1
Publication statusPublished - 2008 Jan
Externally publishedYes


  • Deligne cohomology
  • Iterated integral
  • Massey product
  • Polysymbol

ASJC Scopus subject areas

  • Mathematics(all)


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