V. Guillemin

activity

19982005

most citedHow is a graph like a manifold?

16 citations · 40 across the 9 of their papers we have counts for

collaborators

Showing 2000Show all

3 papers · 1 filter

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…

math.CO2000

Morse theory on graphs

Victor Guillemin, Catalin Zara

Let $Γ$ be a finite d-valent graph and G an n-dimensional torus. An ``action'' of G on $Γ$ is defined by a map, $α$ , which assigns to each oriented edge e of $Γ$ a one-dimensional…