Virtual manifolds and localization

Authors
Chen, Bohui Tian, Gang
Citation
Chen, Bohui et Tian, Gang, Virtual manifolds and localization, Acta mathematica Sinica. English series (Print) , 26(1), 2010, pp. 1-24
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
1
Year of publication
2010
Pages
1 - 24
Database
ACNP
SICI code
Abstract
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.