Morse interpolation for Hamiltonian GKM spaces (Q874689)

Let \(T\) be a torus and let \((M,\omega)\) be a connected, compact, Hamiltonian \(T\)-space, with a finite fixed point set \(M^T\), and moment map \(\Phi:M\rightarrow{\mathfrak{t}^{*}}\), where \(\mathfrak{t}^{*}\) is the dual of the Lie algebra of \(T\). Let \({H^{*}}_{T}(M)\) be the \(T\)-equivariant cohomology of \(M\). Then \({H^{*}}_{T}(M)\) is a free module over the symmetric algebra of \(\mathfrak{t}^{*}\). In the paper under review the author gives an explicit combinatorial construction of a basis of \({H^{*}}_{T}(M)\) as a module, for a special class of Hamiltonian \(T\)-spaces.