Hodge genera and characteristic classes Of complex algebraic varieties

Sylvain E. Cappell, Anatoly Libgober, Laurentiu Maxim, Julius L. Shaneson

Research output: Contribution to journalArticlepeer-review


We announce Hodge theoretic formulae of Atiyah-Meyer type for genera and characteristic classes of complex algebraic varieties. Our results are formulated in terms of the generalized (motivic) Hirzebruch characteristic classes, and the arguments used in the proofs rely in an essential way on Saito's theory of algebraic mixed Hodge modules.

Original languageEnglish (US)
Pages (from-to)1-7
Number of pages7
JournalElectronic Research Announcements of the American Mathematical Society
StatePublished - 2008


  • Hirzebruch characteristic classes
  • Hodge genus
  • Mixed hodge module
  • Monodromy
  • Variation of hodge structures

ASJC Scopus subject areas

  • General Mathematics


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