152 citations · 375 across the 47 of their papers we have counts for
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Cohomology of GKM Fiber Bundles
Victor Guillemin, Silvia Sabatini, Catalin Zara
The equivariant cohomology ring of a GKM manifold is isomorphic to the cohomology ring of its GKM graph. In this paper we explore the implications of this fact for equivariant fibe…
Geodesics on weighted projective spaces
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
We study the inverse spectral problem for weighted projective spaces using wave-trace methods. We show that in many cases one can "hear" the weights of a weighted projective space.
Stability Functions
Daniel Burns, Victor Guillemin, Zuoqin Wang
In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to problems in toric geometry. In particular we sho…
A semi-classical inverse problem I: Taylor expansions
Yves Colin De Verdière, Victor Guillemin
In dimension 1, we show that the Taylor expansion of a potential near a generic non degenerate critical point can be recovered from the knowledge of the semi-classical spectrum of…