Geodesic
Stratified obstruction systems for equivariant moduli problems and invariant Euler cycles
Yang, Xiangdong1
1Department of Mathematics, Sichuan University, Chengdu, 610064, China
Algebraic and Geometric Topology, Tome 15 (2015) no. 1, pp. 287-318
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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 G–vector bundle that is determined by the G–action on the vector bundle and prove that if the coindex of an oriented equivariant moduli problem is bigger than 1, then we obtain an invariant Euler cycle via equivariant perturbation. In particular, we get a localization formula for the stratified transversal intersection of S1–moduli problems.

DOI : 10.2140/agt.2015.15.287
Classification : 57R22, 57R91
Keywords: equivariant vector bundle, equivariant moduli problem, Euler cycle

Yang, Xiangdong  1

1 Department of Mathematics, Sichuan University, Chengdu, 610064, China 
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Yang, Xiangdong. Stratified obstruction systems for equivariant moduli problems and invariant Euler cycles. Algebraic and Geometric Topology, Tome 15 (2015) no. 1, pp. 287-318. doi: 10.2140/agt.2015.15.287

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