Abstract
The purpose of this paper is to study finite-dimensional equivariant moduli problems from the viewpoint of stratification theory. We show that there exists a stratified obstruction system for a finite-dimensional equivariant moduli problem. In addition, we define a coindex for a –vector bundle that is determined by the –action on the vector bundle and prove that if the coindex of an oriented equivariant moduli problem is bigger than , then we obtain an invariant Euler cycle via equivariant perturbation. In particular, we get a localization formula for the stratified transversal intersection of –moduli problems.
Citation
Xiangdong Yang. "Stratified obstruction systems for equivariant moduli problems and invariant Euler cycles." Algebr. Geom. Topol. 15 (1) 287 - 318, 2015. https://doi.org/10.2140/agt.2015.15.287
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