The concept of assignments was introduced in Ginzburg et al.(1999) as a method for
extracting geometric information about group actions on manifolds from combinatorial data …

HAMILTONIAN TORUS ACTIONS IN EQUIVARIANT COHOMOLOGY AND SYMPLECTIC
TOPOLOGY Page 1 HAMILTONIAN TORUS ACTIONS IN EQUIVARIANT COHOMOLOGY AND …

Polynomial assignments for a torus $ T $-action on a smooth manifold $ M $ were
introduced by Ginzburg, Guillemin, and Karshon in 1999; they form a module over $\mathbb …

Let a torus T act in a Hamiltonian fashion on a compact symplectic manifold (M, ω). The
assignment ring AT (M) is an extension of the equivariant cohomology ring HT (M); it is …

My doctoral thesis consists of two projects. The first project is joint work with Catalin Zara,
based on the paper~\cite {gz}, and is explained in Chapters~\ref {ch: polynomialassignments …

My research is on symplectic and contact manifolds and Hamiltonian group actions. A
manifold M2n is symplectic if M has a closed, non-degenerate 2-form ω∈ Ω2 (M). The …

In my research, I study symplectic manifolds and Hamiltonian group actions. A manifold M2n
is symplectic if M has a closed, non-degenerate 2-form ω∈ Ω2 (M). The classical example …