C. Zara

activity

19982001

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math.SG2001

A GKM description of the equivariant cohomology ring of a homogeneous space

Victor Guillemin, Tara Holm, Catalin Zara

Let $T$ be a torus of dimension $n > 1$ and $M$ a compact $T -$ manifold. $M$ is a GKM manifold if the set of zero dimensional orbits in the orbit space $M / T$ is zero dimensional and t…

math.SG2000

Combinatorial formulas for products of Thom classes

Victor Guillemin, Catalin Zara

Let G be a torus of dimension n > 1 and M a compact Hamiltonian G-manifold with $M^{G}$ finite. A circle, $S^{1}$ , in G is generic if $M^{G} = M^{S^{1}}$ . For such a circle the moment map…

math.SG2000

G-actions on graphs

Victor Guillemin, Catalin Zara

Let G be an n-dimensional torus and $τ$ a Hamiltonian action of G on a compact symplectic manifold, M. If M is pre-quantizable one can associate with $τ$ a representation of G on a…