Equivariant Morse equation (Q1935670)

Given a flow on a locally compact metric space, an isolated invariant set \(S\) and a Morse decomposition \((M_1,\dots,M_m)\) of \(S\), the Morse equations relate the homology of the Conley index \(h(S)\) with the homologies of \(h(M_j)\), \(j=1,\dots,m\). The author extends this to equivariant flows on a finite-dimensional linear representation space of a compact Lie group \(G\).