Virtual manifolds and localization

Bohui Chen, Gang Tian

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper, we explore the virtual technique that is very useful in studying the moduli problem from a differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration theory. In particular, the virtual localization formula is obtained.

Original languageEnglish (US)
Pages (from-to)1-24
Number of pages24
JournalActa Mathematica Sinica, English Series
Issue number1
StatePublished - Jan 2010

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • Fredholm system
  • Localization
  • Moduli space
  • Virtual manifolds


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