Pure and Applied Mathematics Quarterly
Volume 9 (2013)
Nonlinearity, proper actions and equivariant stable cohomotopy
Pages: 387 – 416
We extend the classical definition of equivariant cohomotopy theory to the setting of proper actions of Lie groups with analytical methods. We prove the correspondence with previous constructions by constructing an index.
equivariant cohomotopy, proper actions, nonlinear analysis, Segal conjecture
2010 Mathematics Subject Classification
Primary 55P91. Secondary 22-xx, 47-xx.